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Finding the Fourth Proportional to 23,219.16, 32,043.16 and 13,147.42

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Solution

The fourth proportional to 23,219.16, 32,043.16 and 13,147.42 is: 18,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.16 : 32,043.16 = 13,147.42 : x
  2. Step 2: Convert to fraction form
    23,219.16/32,043.16 = 13,147.42/x
  3. Step 3: Cross multiply
    23,219.16x = 32,043.16 × 13,147.42
  4. Step 4: Simplify right side
    23,219.16x = 421,284,882.65
  5. Step 5: Solve for x
    x = 421,284,882.65/23,219.16
  6. Step 6: Final answer
    x = 18,143.85

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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.