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Finding the Fourth Proportional to 14,872.59, 20,524.19 and 8,584.97

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Solution

The fourth proportional to 14,872.59, 20,524.19 and 8,584.97 is: 11,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.59 : 20,524.19 = 8,584.97 : x
  2. Step 2: Convert to fraction form
    14,872.59/20,524.19 = 8,584.97/x
  3. Step 3: Cross multiply
    14,872.59x = 20,524.19 × 8,584.97
  4. Step 4: Simplify right side
    14,872.59x = 176,199,409.88
  5. Step 5: Solve for x
    x = 176,199,409.88/14,872.59
  6. Step 6: Final answer
    x = 11,847.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.