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Finding the Fourth Proportional to 22,617.30, 31,218.30 and 13,665.38

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Solution

The fourth proportional to 22,617.30, 31,218.30 and 13,665.38 is: 18,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.30 : 31,218.30 = 13,665.38 : x
  2. Step 2: Convert to fraction form
    22,617.30/31,218.30 = 13,665.38/x
  3. Step 3: Cross multiply
    22,617.30x = 31,218.30 × 13,665.38
  4. Step 4: Simplify right side
    22,617.30x = 426,609,932.45
  5. Step 5: Solve for x
    x = 426,609,932.45/22,617.30
  6. Step 6: Final answer
    x = 18,862.11

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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.