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Finding the Fourth Proportional to 23,114.16, 34,665.17 and 8,320.32

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Solution

The fourth proportional to 23,114.16, 34,665.17 and 8,320.32 is: 12,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.16 : 34,665.17 = 8,320.32 : x
  2. Step 2: Convert to fraction form
    23,114.16/34,665.17 = 8,320.32/x
  3. Step 3: Cross multiply
    23,114.16x = 34,665.17 × 8,320.32
  4. Step 4: Simplify right side
    23,114.16x = 288,425,265.65
  5. Step 5: Solve for x
    x = 288,425,265.65/23,114.16
  6. Step 6: Final answer
    x = 12,478.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.