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Finding the Fourth Proportional to 12,663.71, 18,989.60 and 7,400.24

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Solution

The fourth proportional to 12,663.71, 18,989.60 and 7,400.24 is: 11,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.71 : 18,989.60 = 7,400.24 : x
  2. Step 2: Convert to fraction form
    12,663.71/18,989.60 = 7,400.24/x
  3. Step 3: Cross multiply
    12,663.71x = 18,989.60 × 7,400.24
  4. Step 4: Simplify right side
    12,663.71x = 140,527,597.50
  5. Step 5: Solve for x
    x = 140,527,597.50/12,663.71
  6. Step 6: Final answer
    x = 11,096.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.