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Finding the Fourth Proportional to 27,702.59, 38,229.69 and 15,127.34

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Solution

The fourth proportional to 27,702.59, 38,229.69 and 15,127.34 is: 20,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.59 : 38,229.69 = 15,127.34 : x
  2. Step 2: Convert to fraction form
    27,702.59/38,229.69 = 15,127.34/x
  3. Step 3: Cross multiply
    27,702.59x = 38,229.69 × 15,127.34
  4. Step 4: Simplify right side
    27,702.59x = 578,313,518.72
  5. Step 5: Solve for x
    x = 578,313,518.72/27,702.59
  6. Step 6: Final answer
    x = 20,875.79

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