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Finding the Fourth Proportional to 12,572.25, 18,857.76 and 4,252.59

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Solution

The fourth proportional to 12,572.25, 18,857.76 and 4,252.59 is: 6,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.25 : 18,857.76 = 4,252.59 : x
  2. Step 2: Convert to fraction form
    12,572.25/18,857.76 = 4,252.59/x
  3. Step 3: Cross multiply
    12,572.25x = 18,857.76 × 4,252.59
  4. Step 4: Simplify right side
    12,572.25x = 80,194,321.60
  5. Step 5: Solve for x
    x = 80,194,321.60/12,572.25
  6. Step 6: Final answer
    x = 6,378.68

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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.