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Finding the Fourth Proportional to 17,800.76, 24,565.53 and 9,843.27

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Solution

The fourth proportional to 17,800.76, 24,565.53 and 9,843.27 is: 13,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.76 : 24,565.53 = 9,843.27 : x
  2. Step 2: Convert to fraction form
    17,800.76/24,565.53 = 9,843.27/x
  3. Step 3: Cross multiply
    17,800.76x = 24,565.53 × 9,843.27
  4. Step 4: Simplify right side
    17,800.76x = 241,805,089.27
  5. Step 5: Solve for x
    x = 241,805,089.27/17,800.76
  6. Step 6: Final answer
    x = 13,583.97

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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.