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Finding the Fourth Proportional to 14,549.68, 20,077.56 and 8,176.44

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Solution

The fourth proportional to 14,549.68, 20,077.56 and 8,176.44 is: 11,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.68 : 20,077.56 = 8,176.44 : x
  2. Step 2: Convert to fraction form
    14,549.68/20,077.56 = 8,176.44/x
  3. Step 3: Cross multiply
    14,549.68x = 20,077.56 × 8,176.44
  4. Step 4: Simplify right side
    14,549.68x = 164,162,964.69
  5. Step 5: Solve for x
    x = 164,162,964.69/14,549.68
  6. Step 6: Final answer
    x = 11,282.93

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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.