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Finding the Fourth Proportional to 13,731.32, 18,949.02 and 7,764.92

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Solution

The fourth proportional to 13,731.32, 18,949.02 and 7,764.92 is: 10,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.32 : 18,949.02 = 7,764.92 : x
  2. Step 2: Convert to fraction form
    13,731.32/18,949.02 = 7,764.92/x
  3. Step 3: Cross multiply
    13,731.32x = 18,949.02 × 7,764.92
  4. Step 4: Simplify right side
    13,731.32x = 147,137,624.38
  5. Step 5: Solve for x
    x = 147,137,624.38/13,731.32
  6. Step 6: Final answer
    x = 10,715.48

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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.