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Finding the Fourth Proportional to 14,872.78, 20,524.44 and 8,585.16

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Solution

The fourth proportional to 14,872.78, 20,524.44 and 8,585.16 is: 11,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.78 : 20,524.44 = 8,585.16 : x
  2. Step 2: Convert to fraction form
    14,872.78/20,524.44 = 8,585.16/x
  3. Step 3: Cross multiply
    14,872.78x = 20,524.44 × 8,585.16
  4. Step 4: Simplify right side
    14,872.78x = 176,205,508.25
  5. Step 5: Solve for x
    x = 176,205,508.25/14,872.78
  6. Step 6: Final answer
    x = 11,847.52

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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.