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Finding the Fourth Proportional to 14,512,978.98, 20,027,651.94 and 7,897,341.78

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Solution

The fourth proportional to 14,512,978.98, 20,027,651.94 and 7,897,341.78 is: 10,898,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512,978.98 : 20,027,651.94 = 7,897,341.78 : x
  2. Step 2: Convert to fraction form
    14,512,978.98/20,027,651.94 = 7,897,341.78/x
  3. Step 3: Cross multiply
    14,512,978.98x = 20,027,651.94 × 7,897,341.78
  4. Step 4: Simplify right side
    14,512,978.98x = 158,165,212,421,060.06
  5. Step 5: Solve for x
    x = 158,165,212,421,060.06/14,512,978.98
  6. Step 6: Final answer
    x = 10,898,190.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.