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Finding the Fourth Proportional to 22,829.76, 34,254.54 and 8,049.24

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Solution

The fourth proportional to 22,829.76, 34,254.54 and 8,049.24 is: 12,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.76 : 34,254.54 = 8,049.24 : x
  2. Step 2: Convert to fraction form
    22,829.76/34,254.54 = 8,049.24/x
  3. Step 3: Cross multiply
    22,829.76x = 34,254.54 × 8,049.24
  4. Step 4: Simplify right side
    22,829.76x = 275,723,013.55
  5. Step 5: Solve for x
    x = 275,723,013.55/22,829.76
  6. Step 6: Final answer
    x = 12,077.35

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1.5x scale

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.