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Finding the Fourth Proportional to 24,217.76, 36,326.64 and 7,577.76

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Solution

The fourth proportional to 24,217.76, 36,326.64 and 7,577.76 is: 11,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.76 : 36,326.64 = 7,577.76 : x
  2. Step 2: Convert to fraction form
    24,217.76/36,326.64 = 7,577.76/x
  3. Step 3: Cross multiply
    24,217.76x = 36,326.64 × 7,577.76
  4. Step 4: Simplify right side
    24,217.76x = 275,274,559.53
  5. Step 5: Solve for x
    x = 275,274,559.53/24,217.76
  6. Step 6: Final answer
    x = 11,366.64

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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.