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Finding the Fourth Proportional to 27,877.92, 38,471.76 and 15,302.56

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Solution

The fourth proportional to 27,877.92, 38,471.76 and 15,302.56 is: 21,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.92 : 38,471.76 = 15,302.56 : x
  2. Step 2: Convert to fraction form
    27,877.92/38,471.76 = 15,302.56/x
  3. Step 3: Cross multiply
    27,877.92x = 38,471.76 × 15,302.56
  4. Step 4: Simplify right side
    27,877.92x = 588,716,415.71
  5. Step 5: Solve for x
    x = 588,716,415.71/27,877.92
  6. Step 6: Final answer
    x = 21,117.66

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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.