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Finding the Fourth Proportional to 23,200.92, 32,017.02 and 13,129.08

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Solution

The fourth proportional to 23,200.92, 32,017.02 and 13,129.08 is: 18,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.92 : 32,017.02 = 13,129.08 : x
  2. Step 2: Convert to fraction form
    23,200.92/32,017.02 = 13,129.08/x
  3. Step 3: Cross multiply
    23,200.92x = 32,017.02 × 13,129.08
  4. Step 4: Simplify right side
    23,200.92x = 420,354,016.94
  5. Step 5: Solve for x
    x = 420,354,016.94/23,200.92
  6. Step 6: Final answer
    x = 18,117.99

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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.