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Finding the Fourth Proportional to 23,247.90, 34,868.43 and 7,663.50

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Solution

The fourth proportional to 23,247.90, 34,868.43 and 7,663.50 is: 11,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247.90 : 34,868.43 = 7,663.50 : x
  2. Step 2: Convert to fraction form
    23,247.90/34,868.43 = 7,663.50/x
  3. Step 3: Cross multiply
    23,247.90x = 34,868.43 × 7,663.50
  4. Step 4: Simplify right side
    23,247.90x = 267,214,213.31
  5. Step 5: Solve for x
    x = 267,214,213.31/23,247.90
  6. Step 6: Final answer
    x = 11,494.12

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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.