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Finding the Fourth Proportional to 19,787.66, 27,306.86 and 10,713

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Solution

The fourth proportional to 19,787.66, 27,306.86 and 10,713 is: 14,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.66 : 27,306.86 = 10,713 : x
  2. Step 2: Convert to fraction form
    19,787.66/27,306.86 = 10,713/x
  3. Step 3: Cross multiply
    19,787.66x = 27,306.86 × 10,713
  4. Step 4: Simplify right side
    19,787.66x = 292,538,391.18
  5. Step 5: Solve for x
    x = 292,538,391.18/19,787.66
  6. Step 6: Final answer
    x = 14,783.88

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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.