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Finding the Fourth Proportional to 24,765.77, 37,147.34 and 8,123.61

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Solution

The fourth proportional to 24,765.77, 37,147.34 and 8,123.61 is: 12,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.77 : 37,147.34 = 8,123.61 : x
  2. Step 2: Convert to fraction form
    24,765.77/37,147.34 = 8,123.61/x
  3. Step 3: Cross multiply
    24,765.77x = 37,147.34 × 8,123.61
  4. Step 4: Simplify right side
    24,765.77x = 301,770,316.96
  5. Step 5: Solve for x
    x = 301,770,316.96/24,765.77
  6. Step 6: Final answer
    x = 12,184.98

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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.