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Finding the Fourth Proportional to 14,957.82, 20,642.22 and 8,243.88

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Solution

The fourth proportional to 14,957.82, 20,642.22 and 8,243.88 is: 11,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.82 : 20,642.22 = 8,243.88 : x
  2. Step 2: Convert to fraction form
    14,957.82/20,642.22 = 8,243.88/x
  3. Step 3: Cross multiply
    14,957.82x = 20,642.22 × 8,243.88
  4. Step 4: Simplify right side
    14,957.82x = 170,172,001.50
  5. Step 5: Solve for x
    x = 170,172,001.50/14,957.82
  6. Step 6: Final answer
    x = 11,376.79

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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.