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Finding the Fourth Proportional to 14,502.68, 21,751.56 and 4,112

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Solution

The fourth proportional to 14,502.68, 21,751.56 and 4,112 is: 6,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.68 : 21,751.56 = 4,112 : x
  2. Step 2: Convert to fraction form
    14,502.68/21,751.56 = 4,112/x
  3. Step 3: Cross multiply
    14,502.68x = 21,751.56 × 4,112
  4. Step 4: Simplify right side
    14,502.68x = 89,442,414.72
  5. Step 5: Solve for x
    x = 89,442,414.72/14,502.68
  6. Step 6: Final answer
    x = 6,167.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.