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Finding the Fourth Proportional to 24,324.18, 36,459.62 and 9,516.83

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Solution

The fourth proportional to 24,324.18, 36,459.62 and 9,516.83 is: 14,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.18 : 36,459.62 = 9,516.83 : x
  2. Step 2: Convert to fraction form
    24,324.18/36,459.62 = 9,516.83/x
  3. Step 3: Cross multiply
    24,324.18x = 36,459.62 × 9,516.83
  4. Step 4: Simplify right side
    24,324.18x = 346,979,811.21
  5. Step 5: Solve for x
    x = 346,979,811.21/24,324.18
  6. Step 6: Final answer
    x = 14,264.81

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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.