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Finding the Fourth Proportional to 14,842.33, 20,481.80 and 8,127.84

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Solution

The fourth proportional to 14,842.33, 20,481.80 and 8,127.84 is: 11,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.33 : 20,481.80 = 8,127.84 : x
  2. Step 2: Convert to fraction form
    14,842.33/20,481.80 = 8,127.84/x
  3. Step 3: Cross multiply
    14,842.33x = 20,481.80 × 8,127.84
  4. Step 4: Simplify right side
    14,842.33x = 166,472,818.91
  5. Step 5: Solve for x
    x = 166,472,818.91/14,842.33
  6. Step 6: Final answer
    x = 11,216.08

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