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Finding the Fourth Proportional to 15,648.30, 23,474.49 and 5,114.64

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Solution

The fourth proportional to 15,648.30, 23,474.49 and 5,114.64 is: 7,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.30 : 23,474.49 = 5,114.64 : x
  2. Step 2: Convert to fraction form
    15,648.30/23,474.49 = 5,114.64/x
  3. Step 3: Cross multiply
    15,648.30x = 23,474.49 × 5,114.64
  4. Step 4: Simplify right side
    15,648.30x = 120,063,565.53
  5. Step 5: Solve for x
    x = 120,063,565.53/15,648.30
  6. Step 6: Final answer
    x = 7,672.63

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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.