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Finding the Fourth Proportional to 14,962.42, 20,648.26 and 8,248.30

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Solution

The fourth proportional to 14,962.42, 20,648.26 and 8,248.30 is: 11,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962.42 : 20,648.26 = 8,248.30 : x
  2. Step 2: Convert to fraction form
    14,962.42/20,648.26 = 8,248.30/x
  3. Step 3: Cross multiply
    14,962.42x = 20,648.26 × 8,248.30
  4. Step 4: Simplify right side
    14,962.42x = 170,313,042.96
  5. Step 5: Solve for x
    x = 170,313,042.96/14,962.42
  6. Step 6: Final answer
    x = 11,382.72

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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.