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Finding the Fourth Proportional to 22,332, 33,508.23 and 9,685.63

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Solution

The fourth proportional to 22,332, 33,508.23 and 9,685.63 is: 14,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332 : 33,508.23 = 9,685.63 : x
  2. Step 2: Convert to fraction form
    22,332/33,508.23 = 9,685.63/x
  3. Step 3: Cross multiply
    22,332x = 33,508.23 × 9,685.63
  4. Step 4: Simplify right side
    22,332x = 324,548,233.96
  5. Step 5: Solve for x
    x = 324,548,233.96/22,332
  6. Step 6: Final answer
    x = 14,532.88

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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.