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Finding the Fourth Proportional to 24,399.20, 36,585.04 and 7,756.16

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Solution

The fourth proportional to 24,399.20, 36,585.04 and 7,756.16 is: 11,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.20 : 36,585.04 = 7,756.16 : x
  2. Step 2: Convert to fraction form
    24,399.20/36,585.04 = 7,756.16/x
  3. Step 3: Cross multiply
    24,399.20x = 36,585.04 × 7,756.16
  4. Step 4: Simplify right side
    24,399.20x = 283,759,423.85
  5. Step 5: Solve for x
    x = 283,759,423.85/24,399.20
  6. Step 6: Final answer
    x = 11,629.87

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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.