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Finding the Fourth Proportional to 16,517.34, 24,787.05 and 6,130.14

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Solution

The fourth proportional to 16,517.34, 24,787.05 and 6,130.14 is: 9,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.34 : 24,787.05 = 6,130.14 : x
  2. Step 2: Convert to fraction form
    16,517.34/24,787.05 = 6,130.14/x
  3. Step 3: Cross multiply
    16,517.34x = 24,787.05 × 6,130.14
  4. Step 4: Simplify right side
    16,517.34x = 151,948,086.69
  5. Step 5: Solve for x
    x = 151,948,086.69/16,517.34
  6. Step 6: Final answer
    x = 9,199.31

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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.