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Finding the Fourth Proportional to 17,542.16, 24,207.02 and 9,989.27

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Solution

The fourth proportional to 17,542.16, 24,207.02 and 9,989.27 is: 13,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.16 : 24,207.02 = 9,989.27 : x
  2. Step 2: Convert to fraction form
    17,542.16/24,207.02 = 9,989.27/x
  3. Step 3: Cross multiply
    17,542.16x = 24,207.02 × 9,989.27
  4. Step 4: Simplify right side
    17,542.16x = 241,810,362.61
  5. Step 5: Solve for x
    x = 241,810,362.61/17,542.16
  6. Step 6: Final answer
    x = 13,784.52

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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.