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Finding the Fourth Proportional to 12,369.38, 17,061.18 and 7,650.86

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Solution

The fourth proportional to 12,369.38, 17,061.18 and 7,650.86 is: 10,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.38 : 17,061.18 = 7,650.86 : x
  2. Step 2: Convert to fraction form
    12,369.38/17,061.18 = 7,650.86/x
  3. Step 3: Cross multiply
    12,369.38x = 17,061.18 × 7,650.86
  4. Step 4: Simplify right side
    12,369.38x = 130,532,699.61
  5. Step 5: Solve for x
    x = 130,532,699.61/12,369.38
  6. Step 6: Final answer
    x = 10,552.89

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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.