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Finding the Fourth Proportional to 19,624, 27,081.12 and 10,792

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Solution

The fourth proportional to 19,624, 27,081.12 and 10,792 is: 14,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624 : 27,081.12 = 10,792 : x
  2. Step 2: Convert to fraction form
    19,624/27,081.12 = 10,792/x
  3. Step 3: Cross multiply
    19,624x = 27,081.12 × 10,792
  4. Step 4: Simplify right side
    19,624x = 292,259,447.04
  5. Step 5: Solve for x
    x = 292,259,447.04/19,624
  6. Step 6: Final answer
    x = 14,892.96

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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.