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Finding the Fourth Proportional to 13,174.57, 19,757.86 and 6,931.14

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Solution

The fourth proportional to 13,174.57, 19,757.86 and 6,931.14 is: 10,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.57 : 19,757.86 = 6,931.14 : x
  2. Step 2: Convert to fraction form
    13,174.57/19,757.86 = 6,931.14/x
  3. Step 3: Cross multiply
    13,174.57x = 19,757.86 × 6,931.14
  4. Step 4: Simplify right side
    13,174.57x = 136,944,493.76
  5. Step 5: Solve for x
    x = 136,944,493.76/13,174.57
  6. Step 6: Final answer
    x = 10,394.61

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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.