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Finding the Fourth Proportional to 24,411.24, 36,613.62 and 9,616.32

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Solution

The fourth proportional to 24,411.24, 36,613.62 and 9,616.32 is: 14,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.24 : 36,613.62 = 9,616.32 : x
  2. Step 2: Convert to fraction form
    24,411.24/36,613.62 = 9,616.32/x
  3. Step 3: Cross multiply
    24,411.24x = 36,613.62 × 9,616.32
  4. Step 4: Simplify right side
    24,411.24x = 352,088,286.28
  5. Step 5: Solve for x
    x = 352,088,286.28/24,411.24
  6. Step 6: Final answer
    x = 14,423.20

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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.