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Finding the Fourth Proportional to 21,048, 29,046.87 and 11,617.17

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Solution

The fourth proportional to 21,048, 29,046.87 and 11,617.17 is: 16,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048 : 29,046.87 = 11,617.17 : x
  2. Step 2: Convert to fraction form
    21,048/29,046.87 = 11,617.17/x
  3. Step 3: Cross multiply
    21,048x = 29,046.87 × 11,617.17
  4. Step 4: Simplify right side
    21,048x = 337,442,426.76
  5. Step 5: Solve for x
    x = 337,442,426.76/21,048
  6. Step 6: Final answer
    x = 16,032.04

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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.