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Finding the Fourth Proportional to 23,200.80, 32,018.66 and 13,129.67

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Solution

The fourth proportional to 23,200.80, 32,018.66 and 13,129.67 is: 18,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.80 : 32,018.66 = 13,129.67 : x
  2. Step 2: Convert to fraction form
    23,200.80/32,018.66 = 13,129.67/x
  3. Step 3: Cross multiply
    23,200.80x = 32,018.66 × 13,129.67
  4. Step 4: Simplify right side
    23,200.80x = 420,394,213.90
  5. Step 5: Solve for x
    x = 420,394,213.90/23,200.80
  6. Step 6: Final answer
    x = 18,119.82

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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.