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Finding the Fourth Proportional to 12,663.60, 18,989.44 and 7,400.13

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Solution

The fourth proportional to 12,663.60, 18,989.44 and 7,400.13 is: 11,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.60 : 18,989.44 = 7,400.13 : x
  2. Step 2: Convert to fraction form
    12,663.60/18,989.44 = 7,400.13/x
  3. Step 3: Cross multiply
    12,663.60x = 18,989.44 × 7,400.13
  4. Step 4: Simplify right side
    12,663.60x = 140,524,287.63
  5. Step 5: Solve for x
    x = 140,524,287.63/12,663.60
  6. Step 6: Final answer
    x = 11,096.71

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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.