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Finding the Fourth Proportional to 24,049.53, 36,074.55 and 7,409.43

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Solution

The fourth proportional to 24,049.53, 36,074.55 and 7,409.43 is: 11,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.53 : 36,074.55 = 7,409.43 : x
  2. Step 2: Convert to fraction form
    24,049.53/36,074.55 = 7,409.43/x
  3. Step 3: Cross multiply
    24,049.53x = 36,074.55 × 7,409.43
  4. Step 4: Simplify right side
    24,049.53x = 267,291,853.01
  5. Step 5: Solve for x
    x = 267,291,853.01/24,049.53
  6. Step 6: Final answer
    x = 11,114.22

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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.