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Finding the Fourth Proportional to 14,232.60, 19,640.38 and 7,944.92

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Solution

The fourth proportional to 14,232.60, 19,640.38 and 7,944.92 is: 10,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.60 : 19,640.38 = 7,944.92 : x
  2. Step 2: Convert to fraction form
    14,232.60/19,640.38 = 7,944.92/x
  3. Step 3: Cross multiply
    14,232.60x = 19,640.38 × 7,944.92
  4. Step 4: Simplify right side
    14,232.60x = 156,041,247.87
  5. Step 5: Solve for x
    x = 156,041,247.87/14,232.60
  6. Step 6: Final answer
    x = 10,963.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.