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Finding the Fourth Proportional to 12,287.57, 18,436.80 and 6,442.79

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Solution

The fourth proportional to 12,287.57, 18,436.80 and 6,442.79 is: 9,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.57 : 18,436.80 = 6,442.79 : x
  2. Step 2: Convert to fraction form
    12,287.57/18,436.80 = 6,442.79/x
  3. Step 3: Cross multiply
    12,287.57x = 18,436.80 × 6,442.79
  4. Step 4: Simplify right side
    12,287.57x = 118,784,430.67
  5. Step 5: Solve for x
    x = 118,784,430.67/12,287.57
  6. Step 6: Final answer
    x = 9,667.04

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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.