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Finding the Fourth Proportional to 24,332.71, 36,499.07 and 5,864.71

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Solution

The fourth proportional to 24,332.71, 36,499.07 and 5,864.71 is: 8,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.71 : 36,499.07 = 5,864.71 : x
  2. Step 2: Convert to fraction form
    24,332.71/36,499.07 = 5,864.71/x
  3. Step 3: Cross multiply
    24,332.71x = 36,499.07 × 5,864.71
  4. Step 4: Simplify right side
    24,332.71x = 214,056,431.50
  5. Step 5: Solve for x
    x = 214,056,431.50/24,332.71
  6. Step 6: Final answer
    x = 8,797.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.