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Finding the Fourth Proportional to 15,864.84, 21,872.16 and 13,617

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Solution

The fourth proportional to 15,864.84, 21,872.16 and 13,617 is: 18,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.84 : 21,872.16 = 13,617 : x
  2. Step 2: Convert to fraction form
    15,864.84/21,872.16 = 13,617/x
  3. Step 3: Cross multiply
    15,864.84x = 21,872.16 × 13,617
  4. Step 4: Simplify right side
    15,864.84x = 297,833,202.72
  5. Step 5: Solve for x
    x = 297,833,202.72/15,864.84
  6. Step 6: Final answer
    x = 18,773.16

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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.