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Finding the Fourth Proportional to 26,070.98, 35,978.13 and 14,134.50

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Solution

The fourth proportional to 26,070.98, 35,978.13 and 14,134.50 is: 19,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,070.98 : 35,978.13 = 14,134.50 : x
  2. Step 2: Convert to fraction form
    26,070.98/35,978.13 = 14,134.50/x
  3. Step 3: Cross multiply
    26,070.98x = 35,978.13 × 14,134.50
  4. Step 4: Simplify right side
    26,070.98x = 508,532,878.49
  5. Step 5: Solve for x
    x = 508,532,878.49/26,070.98
  6. Step 6: Final answer
    x = 19,505.71

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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.