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Finding the Fourth Proportional to 27,718.64, 38,251.76 and 15,781.97

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Solution

The fourth proportional to 27,718.64, 38,251.76 and 15,781.97 is: 21,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.64 : 38,251.76 = 15,781.97 : x
  2. Step 2: Convert to fraction form
    27,718.64/38,251.76 = 15,781.97/x
  3. Step 3: Cross multiply
    27,718.64x = 38,251.76 × 15,781.97
  4. Step 4: Simplify right side
    27,718.64x = 603,688,128.77
  5. Step 5: Solve for x
    x = 603,688,128.77/27,718.64
  6. Step 6: Final answer
    x = 21,779.14

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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.