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Finding the Fourth Proportional to 19,978.98, 27,572.04 and 12,023.70

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Solution

The fourth proportional to 19,978.98, 27,572.04 and 12,023.70 is: 16,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.98 : 27,572.04 = 12,023.70 : x
  2. Step 2: Convert to fraction form
    19,978.98/27,572.04 = 12,023.70/x
  3. Step 3: Cross multiply
    19,978.98x = 27,572.04 × 12,023.70
  4. Step 4: Simplify right side
    19,978.98x = 331,517,937.35
  5. Step 5: Solve for x
    x = 331,517,937.35/19,978.98
  6. Step 6: Final answer
    x = 16,593.34

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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.