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Finding the Fourth Proportional to 22,672.50, 34,010.71 and 6,256.50

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Solution

The fourth proportional to 22,672.50, 34,010.71 and 6,256.50 is: 9,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.50 : 34,010.71 = 6,256.50 : x
  2. Step 2: Convert to fraction form
    22,672.50/34,010.71 = 6,256.50/x
  3. Step 3: Cross multiply
    22,672.50x = 34,010.71 × 6,256.50
  4. Step 4: Simplify right side
    22,672.50x = 212,788,007.12
  5. Step 5: Solve for x
    x = 212,788,007.12/22,672.50
  6. Step 6: Final answer
    x = 9,385.29

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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.