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Finding the Fourth Proportional to 23,243.56, 34,868.22 and 7,671.40

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Solution

The fourth proportional to 23,243.56, 34,868.22 and 7,671.40 is: 11,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,243.56 : 34,868.22 = 7,671.40 : x
  2. Step 2: Convert to fraction form
    23,243.56/34,868.22 = 7,671.40/x
  3. Step 3: Cross multiply
    23,243.56x = 34,868.22 × 7,671.40
  4. Step 4: Simplify right side
    23,243.56x = 267,488,062.91
  5. Step 5: Solve for x
    x = 267,488,062.91/23,243.56
  6. Step 6: Final answer
    x = 11,508.05

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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.