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Finding the Fourth Proportional to 22,417.38, 30,934.17 and 12,857.22

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Solution

The fourth proportional to 22,417.38, 30,934.17 and 12,857.22 is: 17,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.38 : 30,934.17 = 12,857.22 : x
  2. Step 2: Convert to fraction form
    22,417.38/30,934.17 = 12,857.22/x
  3. Step 3: Cross multiply
    22,417.38x = 30,934.17 × 12,857.22
  4. Step 4: Simplify right side
    22,417.38x = 397,727,429.21
  5. Step 5: Solve for x
    x = 397,727,429.21/22,417.38
  6. Step 6: Final answer
    x = 17,741.92

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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.