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Finding the Fourth Proportional to 12,910.57, 17,822.01 and 10,931.38

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Solution

The fourth proportional to 12,910.57, 17,822.01 and 10,931.38 is: 15,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.57 : 17,822.01 = 10,931.38 : x
  2. Step 2: Convert to fraction form
    12,910.57/17,822.01 = 10,931.38/x
  3. Step 3: Cross multiply
    12,910.57x = 17,822.01 × 10,931.38
  4. Step 4: Simplify right side
    12,910.57x = 194,819,163.67
  5. Step 5: Solve for x
    x = 194,819,163.67/12,910.57
  6. Step 6: Final answer
    x = 15,089.90

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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.