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Finding the Fourth Proportional to 14,502.86, 21,751.29 and 5,143.18

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Solution

The fourth proportional to 14,502.86, 21,751.29 and 5,143.18 is: 7,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.86 : 21,751.29 = 5,143.18 : x
  2. Step 2: Convert to fraction form
    14,502.86/21,751.29 = 5,143.18/x
  3. Step 3: Cross multiply
    14,502.86x = 21,751.29 × 5,143.18
  4. Step 4: Simplify right side
    14,502.86x = 111,870,799.70
  5. Step 5: Solve for x
    x = 111,870,799.70/14,502.86
  6. Step 6: Final answer
    x = 7,713.71

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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.