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Finding the Fourth Proportional to 22,513.74, 33,770.61 and 8,659.50

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Solution

The fourth proportional to 22,513.74, 33,770.61 and 8,659.50 is: 12,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.74 : 33,770.61 = 8,659.50 : x
  2. Step 2: Convert to fraction form
    22,513.74/33,770.61 = 8,659.50/x
  3. Step 3: Cross multiply
    22,513.74x = 33,770.61 × 8,659.50
  4. Step 4: Simplify right side
    22,513.74x = 292,436,597.30
  5. Step 5: Solve for x
    x = 292,436,597.30/22,513.74
  6. Step 6: Final answer
    x = 12,989.25

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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.