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Finding the Fourth Proportional to 22,139.46, 30,550.50 and 12,578.76

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Solution

The fourth proportional to 22,139.46, 30,550.50 and 12,578.76 is: 17,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,139.46 : 30,550.50 = 12,578.76 : x
  2. Step 2: Convert to fraction form
    22,139.46/30,550.50 = 12,578.76/x
  3. Step 3: Cross multiply
    22,139.46x = 30,550.50 × 12,578.76
  4. Step 4: Simplify right side
    22,139.46x = 384,287,407.38
  5. Step 5: Solve for x
    x = 384,287,407.38/22,139.46
  6. Step 6: Final answer
    x = 17,357.58

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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.