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Finding the Fourth Proportional to 23,193.92, 32,007.36 and 13,122.20

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Solution

The fourth proportional to 23,193.92, 32,007.36 and 13,122.20 is: 18,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.92 : 32,007.36 = 13,122.20 : x
  2. Step 2: Convert to fraction form
    23,193.92/32,007.36 = 13,122.20/x
  3. Step 3: Cross multiply
    23,193.92x = 32,007.36 × 13,122.20
  4. Step 4: Simplify right side
    23,193.92x = 420,006,979.39
  5. Step 5: Solve for x
    x = 420,006,979.39/23,193.92
  6. Step 6: Final answer
    x = 18,108.49

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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.