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Finding the Fourth Proportional to 22,746, 34,112.42 and 7,752.78

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Solution

The fourth proportional to 22,746, 34,112.42 and 7,752.78 is: 11,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746 : 34,112.42 = 7,752.78 : x
  2. Step 2: Convert to fraction form
    22,746/34,112.42 = 7,752.78/x
  3. Step 3: Cross multiply
    22,746x = 34,112.42 × 7,752.78
  4. Step 4: Simplify right side
    22,746x = 264,466,087.53
  5. Step 5: Solve for x
    x = 264,466,087.53/22,746
  6. Step 6: Final answer
    x = 11,626.93

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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.