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Finding the Fourth Proportional to 12,585.30, 18,872.55 and 6,342.90

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Solution

The fourth proportional to 12,585.30, 18,872.55 and 6,342.90 is: 9,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.30 : 18,872.55 = 6,342.90 : x
  2. Step 2: Convert to fraction form
    12,585.30/18,872.55 = 6,342.90/x
  3. Step 3: Cross multiply
    12,585.30x = 18,872.55 × 6,342.90
  4. Step 4: Simplify right side
    12,585.30x = 119,706,697.40
  5. Step 5: Solve for x
    x = 119,706,697.40/12,585.30
  6. Step 6: Final answer
    x = 9,511.63

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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.