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Finding the Fourth Proportional to 27,877.28, 38,461.28 and 15,932.16

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Solution

The fourth proportional to 27,877.28, 38,461.28 and 15,932.16 is: 21,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.28 : 38,461.28 = 15,932.16 : x
  2. Step 2: Convert to fraction form
    27,877.28/38,461.28 = 15,932.16/x
  3. Step 3: Cross multiply
    27,877.28x = 38,461.28 × 15,932.16
  4. Step 4: Simplify right side
    27,877.28x = 612,771,187.10
  5. Step 5: Solve for x
    x = 612,771,187.10/27,877.28
  6. Step 6: Final answer
    x = 21,981.03

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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.