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Finding the Fourth Proportional to 12,644.48, 18,960.96 and 6,073.76

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Solution

The fourth proportional to 12,644.48, 18,960.96 and 6,073.76 is: 9,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.48 : 18,960.96 = 6,073.76 : x
  2. Step 2: Convert to fraction form
    12,644.48/18,960.96 = 6,073.76/x
  3. Step 3: Cross multiply
    12,644.48x = 18,960.96 × 6,073.76
  4. Step 4: Simplify right side
    12,644.48x = 115,164,320.41
  5. Step 5: Solve for x
    x = 115,164,320.41/12,644.48
  6. Step 6: Final answer
    x = 9,107.87

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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.