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Finding the Fourth Proportional to 24,332.11, 36,494.98 and 7,693.81

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Solution

The fourth proportional to 24,332.11, 36,494.98 and 7,693.81 is: 11,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.11 : 36,494.98 = 7,693.81 : x
  2. Step 2: Convert to fraction form
    24,332.11/36,494.98 = 7,693.81/x
  3. Step 3: Cross multiply
    24,332.11x = 36,494.98 × 7,693.81
  4. Step 4: Simplify right side
    24,332.11x = 280,785,331.60
  5. Step 5: Solve for x
    x = 280,785,331.60/24,332.11
  6. Step 6: Final answer
    x = 11,539.70

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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.