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Finding the Fourth Proportional to 16,123.64, 24,174.82 and 7,787.16

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Solution

The fourth proportional to 16,123.64, 24,174.82 and 7,787.16 is: 11,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.64 : 24,174.82 = 7,787.16 : x
  2. Step 2: Convert to fraction form
    16,123.64/24,174.82 = 7,787.16/x
  3. Step 3: Cross multiply
    16,123.64x = 24,174.82 × 7,787.16
  4. Step 4: Simplify right side
    16,123.64x = 188,253,191.31
  5. Step 5: Solve for x
    x = 188,253,191.31/16,123.64
  6. Step 6: Final answer
    x = 11,675.60

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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.