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Finding the Fourth Proportional to 22,842.56, 34,255.20 and 8,984

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Solution

The fourth proportional to 22,842.56, 34,255.20 and 8,984 is: 13,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.56 : 34,255.20 = 8,984 : x
  2. Step 2: Convert to fraction form
    22,842.56/34,255.20 = 8,984/x
  3. Step 3: Cross multiply
    22,842.56x = 34,255.20 × 8,984
  4. Step 4: Simplify right side
    22,842.56x = 307,748,716.80
  5. Step 5: Solve for x
    x = 307,748,716.80/22,842.56
  6. Step 6: Final answer
    x = 13,472.60

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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.