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Finding the Fourth Proportional to 14,522.16, 21,781.17 and 4,660.16

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Solution

The fourth proportional to 14,522.16, 21,781.17 and 4,660.16 is: 6,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.16 : 21,781.17 = 4,660.16 : x
  2. Step 2: Convert to fraction form
    14,522.16/21,781.17 = 4,660.16/x
  3. Step 3: Cross multiply
    14,522.16x = 21,781.17 × 4,660.16
  4. Step 4: Simplify right side
    14,522.16x = 101,503,694.38
  5. Step 5: Solve for x
    x = 101,503,694.38/14,522.16
  6. Step 6: Final answer
    x = 6,989.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.