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Finding the Fourth Proportional to 24,332.38, 36,470.54 and 10,991

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Solution

The fourth proportional to 24,332.38, 36,470.54 and 10,991 is: 16,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.38 : 36,470.54 = 10,991 : x
  2. Step 2: Convert to fraction form
    24,332.38/36,470.54 = 10,991/x
  3. Step 3: Cross multiply
    24,332.38x = 36,470.54 × 10,991
  4. Step 4: Simplify right side
    24,332.38x = 400,847,705.14
  5. Step 5: Solve for x
    x = 400,847,705.14/24,332.38
  6. Step 6: Final answer
    x = 16,473.84

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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.