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Finding the Fourth Proportional to 17,538.33, 24,201.92 and 9,986.51

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Solution

The fourth proportional to 17,538.33, 24,201.92 and 9,986.51 is: 13,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.33 : 24,201.92 = 9,986.51 : x
  2. Step 2: Convert to fraction form
    17,538.33/24,201.92 = 9,986.51/x
  3. Step 3: Cross multiply
    17,538.33x = 24,201.92 × 9,986.51
  4. Step 4: Simplify right side
    17,538.33x = 241,692,545.16
  5. Step 5: Solve for x
    x = 241,692,545.16/17,538.33
  6. Step 6: Final answer
    x = 13,780.82

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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.