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Finding the Fourth Proportional to 16,915.80, 25,383.81 and 9,024.18

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Solution

The fourth proportional to 16,915.80, 25,383.81 and 9,024.18 is: 13,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915.80 : 25,383.81 = 9,024.18 : x
  2. Step 2: Convert to fraction form
    16,915.80/25,383.81 = 9,024.18/x
  3. Step 3: Cross multiply
    16,915.80x = 25,383.81 × 9,024.18
  4. Step 4: Simplify right side
    16,915.80x = 229,068,070.53
  5. Step 5: Solve for x
    x = 229,068,070.53/16,915.80
  6. Step 6: Final answer
    x = 13,541.66

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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.