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Finding the Fourth Proportional to 14,151.66, 21,223.85 and 5,834.04

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Solution

The fourth proportional to 14,151.66, 21,223.85 and 5,834.04 is: 8,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.66 : 21,223.85 = 5,834.04 : x
  2. Step 2: Convert to fraction form
    14,151.66/21,223.85 = 5,834.04/x
  3. Step 3: Cross multiply
    14,151.66x = 21,223.85 × 5,834.04
  4. Step 4: Simplify right side
    14,151.66x = 123,820,760.68
  5. Step 5: Solve for x
    x = 123,820,760.68/14,151.66
  6. Step 6: Final answer
    x = 8,749.56

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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.