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Finding the Fourth Proportional to 11,649.10, 17,389.19 and 10,781.90

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Solution

The fourth proportional to 11,649.10, 17,389.19 and 10,781.90 is: 16,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.10 : 17,389.19 = 10,781.90 : x
  2. Step 2: Convert to fraction form
    11,649.10/17,389.19 = 10,781.90/x
  3. Step 3: Cross multiply
    11,649.10x = 17,389.19 × 10,781.90
  4. Step 4: Simplify right side
    11,649.10x = 187,488,447.67
  5. Step 5: Solve for x
    x = 187,488,447.67/11,649.10
  6. Step 6: Final answer
    x = 16,094.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.