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Finding the Fourth Proportional to 24,102.98, 36,159.54 and 8,309.48

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Solution

The fourth proportional to 24,102.98, 36,159.54 and 8,309.48 is: 12,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.98 : 36,159.54 = 8,309.48 : x
  2. Step 2: Convert to fraction form
    24,102.98/36,159.54 = 8,309.48/x
  3. Step 3: Cross multiply
    24,102.98x = 36,159.54 × 8,309.48
  4. Step 4: Simplify right side
    24,102.98x = 300,466,974.44
  5. Step 5: Solve for x
    x = 300,466,974.44/24,102.98
  6. Step 6: Final answer
    x = 12,465.97

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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.