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Finding the Fourth Proportional to 27,862.32, 38,451 and 15,287.44

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Solution

The fourth proportional to 27,862.32, 38,451 and 15,287.44 is: 21,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.32 : 38,451 = 15,287.44 : x
  2. Step 2: Convert to fraction form
    27,862.32/38,451 = 15,287.44/x
  3. Step 3: Cross multiply
    27,862.32x = 38,451 × 15,287.44
  4. Step 4: Simplify right side
    27,862.32x = 587,817,355.44
  5. Step 5: Solve for x
    x = 587,817,355.44/27,862.32
  6. Step 6: Final answer
    x = 21,097.22

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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.