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Finding the Fourth Proportional to 22,685, 34,034.40 and 11,599.47

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Solution

The fourth proportional to 22,685, 34,034.40 and 11,599.47 is: 17,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685 : 34,034.40 = 11,599.47 : x
  2. Step 2: Convert to fraction form
    22,685/34,034.40 = 11,599.47/x
  3. Step 3: Cross multiply
    22,685x = 34,034.40 × 11,599.47
  4. Step 4: Simplify right side
    22,685x = 394,781,001.77
  5. Step 5: Solve for x
    x = 394,781,001.77/22,685
  6. Step 6: Final answer
    x = 17,402.73

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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.