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Finding the Fourth Proportional to 17,737.38, 24,477.29 and 9,780.34

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Solution

The fourth proportional to 17,737.38, 24,477.29 and 9,780.34 is: 13,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.38 : 24,477.29 = 9,780.34 : x
  2. Step 2: Convert to fraction form
    17,737.38/24,477.29 = 9,780.34/x
  3. Step 3: Cross multiply
    17,737.38x = 24,477.29 × 9,780.34
  4. Step 4: Simplify right side
    17,737.38x = 239,396,218.48
  5. Step 5: Solve for x
    x = 239,396,218.48/17,737.38
  6. Step 6: Final answer
    x = 13,496.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.