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Finding the Fourth Proportional to 22,756.86, 34,140.76 and 6,961.25

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Solution

The fourth proportional to 22,756.86, 34,140.76 and 6,961.25 is: 10,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.86 : 34,140.76 = 6,961.25 : x
  2. Step 2: Convert to fraction form
    22,756.86/34,140.76 = 6,961.25/x
  3. Step 3: Cross multiply
    22,756.86x = 34,140.76 × 6,961.25
  4. Step 4: Simplify right side
    22,756.86x = 237,662,433.50
  5. Step 5: Solve for x
    x = 237,662,433.50/22,756.86
  6. Step 6: Final answer
    x = 10,443.55

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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.