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Finding the Fourth Proportional to 14,502.90, 21,753.63 and 5,142.75

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Solution

The fourth proportional to 14,502.90, 21,753.63 and 5,142.75 is: 7,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.90 : 21,753.63 = 5,142.75 : x
  2. Step 2: Convert to fraction form
    14,502.90/21,753.63 = 5,142.75/x
  3. Step 3: Cross multiply
    14,502.90x = 21,753.63 × 5,142.75
  4. Step 4: Simplify right side
    14,502.90x = 111,873,480.68
  5. Step 5: Solve for x
    x = 111,873,480.68/14,502.90
  6. Step 6: Final answer
    x = 7,713.87

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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.