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Finding the Fourth Proportional to 22,753.38, 31,401.68 and 13,805.82

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Solution

The fourth proportional to 22,753.38, 31,401.68 and 13,805.82 is: 19,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.38 : 31,401.68 = 13,805.82 : x
  2. Step 2: Convert to fraction form
    22,753.38/31,401.68 = 13,805.82/x
  3. Step 3: Cross multiply
    22,753.38x = 31,401.68 × 13,805.82
  4. Step 4: Simplify right side
    22,753.38x = 433,525,784.43
  5. Step 5: Solve for x
    x = 433,525,784.43/22,753.38
  6. Step 6: Final answer
    x = 19,053.25

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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.