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Finding the Fourth Proportional to 12,834.96, 17,686.00 and 9,062.38

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Solution

The fourth proportional to 12,834.96, 17,686.00 and 9,062.38 is: 12,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.96 : 17,686.00 = 9,062.38 : x
  2. Step 2: Convert to fraction form
    12,834.96/17,686.00 = 9,062.38/x
  3. Step 3: Cross multiply
    12,834.96x = 17,686.00 × 9,062.38
  4. Step 4: Simplify right side
    12,834.96x = 160,277,235.14
  5. Step 5: Solve for x
    x = 160,277,235.14/12,834.96
  6. Step 6: Final answer
    x = 12,487.56

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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.