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Finding the Fourth Proportional to 15,787.38, 23,658.47 and 11,594.50

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Solution

The fourth proportional to 15,787.38, 23,658.47 and 11,594.50 is: 17,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.38 : 23,658.47 = 11,594.50 : x
  2. Step 2: Convert to fraction form
    15,787.38/23,658.47 = 11,594.50/x
  3. Step 3: Cross multiply
    15,787.38x = 23,658.47 × 11,594.50
  4. Step 4: Simplify right side
    15,787.38x = 274,308,130.42
  5. Step 5: Solve for x
    x = 274,308,130.42/15,787.38
  6. Step 6: Final answer
    x = 17,375.15

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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.