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Finding the Fourth Proportional to 23,191.62, 32,002.32 and 13,120.98

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Solution

The fourth proportional to 23,191.62, 32,002.32 and 13,120.98 is: 18,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.62 : 32,002.32 = 13,120.98 : x
  2. Step 2: Convert to fraction form
    23,191.62/32,002.32 = 13,120.98/x
  3. Step 3: Cross multiply
    23,191.62x = 32,002.32 × 13,120.98
  4. Step 4: Simplify right side
    23,191.62x = 419,901,800.67
  5. Step 5: Solve for x
    x = 419,901,800.67/23,191.62
  6. Step 6: Final answer
    x = 18,105.76

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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.