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Finding the Fourth Proportional to 24,342.76, 36,515.42 and 7,704.55

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Solution

The fourth proportional to 24,342.76, 36,515.42 and 7,704.55 is: 11,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.76 : 36,515.42 = 7,704.55 : x
  2. Step 2: Convert to fraction form
    24,342.76/36,515.42 = 7,704.55/x
  3. Step 3: Cross multiply
    24,342.76x = 36,515.42 × 7,704.55
  4. Step 4: Simplify right side
    24,342.76x = 281,334,879.16
  5. Step 5: Solve for x
    x = 281,334,879.16/24,342.76
  6. Step 6: Final answer
    x = 11,557.23

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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.