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Finding the Fourth Proportional to 22,275.38, 30,738.12 and 12,715.22

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Solution

The fourth proportional to 22,275.38, 30,738.12 and 12,715.22 is: 17,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.38 : 30,738.12 = 12,715.22 : x
  2. Step 2: Convert to fraction form
    22,275.38/30,738.12 = 12,715.22/x
  3. Step 3: Cross multiply
    22,275.38x = 30,738.12 × 12,715.22
  4. Step 4: Simplify right side
    22,275.38x = 390,841,958.19
  5. Step 5: Solve for x
    x = 390,841,958.19/22,275.38
  6. Step 6: Final answer
    x = 17,545.92

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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.