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Finding the Fourth Proportional to 22,758.57, 31,426.20 and 14,274.90

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Solution

The fourth proportional to 22,758.57, 31,426.20 and 14,274.90 is: 19,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.57 : 31,426.20 = 14,274.90 : x
  2. Step 2: Convert to fraction form
    22,758.57/31,426.20 = 14,274.90/x
  3. Step 3: Cross multiply
    22,758.57x = 31,426.20 × 14,274.90
  4. Step 4: Simplify right side
    22,758.57x = 448,605,862.38
  5. Step 5: Solve for x
    x = 448,605,862.38/22,758.57
  6. Step 6: Final answer
    x = 19,711.51

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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.