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Finding the Fourth Proportional to 23,209.92, 32,029.44 and 13,138.20

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Solution

The fourth proportional to 23,209.92, 32,029.44 and 13,138.20 is: 18,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.92 : 32,029.44 = 13,138.20 : x
  2. Step 2: Convert to fraction form
    23,209.92/32,029.44 = 13,138.20/x
  3. Step 3: Cross multiply
    23,209.92x = 32,029.44 × 13,138.20
  4. Step 4: Simplify right side
    23,209.92x = 420,809,188.61
  5. Step 5: Solve for x
    x = 420,809,188.61/23,209.92
  6. Step 6: Final answer
    x = 18,130.57

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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.