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Finding the Fourth Proportional to 15,920.87, 23,872.14 and 6,567.32

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Solution

The fourth proportional to 15,920.87, 23,872.14 and 6,567.32 is: 9,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.87 : 23,872.14 = 6,567.32 : x
  2. Step 2: Convert to fraction form
    15,920.87/23,872.14 = 6,567.32/x
  3. Step 3: Cross multiply
    15,920.87x = 23,872.14 × 6,567.32
  4. Step 4: Simplify right side
    15,920.87x = 156,775,863.10
  5. Step 5: Solve for x
    x = 156,775,863.10/15,920.87
  6. Step 6: Final answer
    x = 9,847.20

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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.