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Finding the Fourth Proportional to 17,737.58, 24,478.03 and 9,780.09

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Solution

The fourth proportional to 17,737.58, 24,478.03 and 9,780.09 is: 13,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.58 : 24,478.03 = 9,780.09 : x
  2. Step 2: Convert to fraction form
    17,737.58/24,478.03 = 9,780.09/x
  3. Step 3: Cross multiply
    17,737.58x = 24,478.03 × 9,780.09
  4. Step 4: Simplify right side
    17,737.58x = 239,397,287.52
  5. Step 5: Solve for x
    x = 239,397,287.52/17,737.58
  6. Step 6: Final answer
    x = 13,496.61

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