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Finding the Fourth Proportional to 23,032.20, 34,548.84 and 8,242.20

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Solution

The fourth proportional to 23,032.20, 34,548.84 and 8,242.20 is: 12,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.20 : 34,548.84 = 8,242.20 : x
  2. Step 2: Convert to fraction form
    23,032.20/34,548.84 = 8,242.20/x
  3. Step 3: Cross multiply
    23,032.20x = 34,548.84 × 8,242.20
  4. Step 4: Simplify right side
    23,032.20x = 284,758,449.05
  5. Step 5: Solve for x
    x = 284,758,449.05/23,032.20
  6. Step 6: Final answer
    x = 12,363.49

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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.