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Finding the Fourth Proportional to 22,756.90, 34,139.25 and 6,961.54

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Solution

The fourth proportional to 22,756.90, 34,139.25 and 6,961.54 is: 10,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.90 : 34,139.25 = 6,961.54 : x
  2. Step 2: Convert to fraction form
    22,756.90/34,139.25 = 6,961.54/x
  3. Step 3: Cross multiply
    22,756.90x = 34,139.25 × 6,961.54
  4. Step 4: Simplify right side
    22,756.90x = 237,661,754.45
  5. Step 5: Solve for x
    x = 237,661,754.45/22,756.90
  6. Step 6: Final answer
    x = 10,443.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.