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Finding the Fourth Proportional to 17,535.65, 24,201.27 and 9,983.79

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Solution

The fourth proportional to 17,535.65, 24,201.27 and 9,983.79 is: 13,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.65 : 24,201.27 = 9,983.79 : x
  2. Step 2: Convert to fraction form
    17,535.65/24,201.27 = 9,983.79/x
  3. Step 3: Cross multiply
    17,535.65x = 24,201.27 × 9,983.79
  4. Step 4: Simplify right side
    17,535.65x = 241,620,397.41
  5. Step 5: Solve for x
    x = 241,620,397.41/17,535.65
  6. Step 6: Final answer
    x = 13,778.81

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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.