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Finding the Fourth Proportional to 14,568.48, 21,834.39 and 6,238.65

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Solution

The fourth proportional to 14,568.48, 21,834.39 and 6,238.65 is: 9,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.48 : 21,834.39 = 6,238.65 : x
  2. Step 2: Convert to fraction form
    14,568.48/21,834.39 = 6,238.65/x
  3. Step 3: Cross multiply
    14,568.48x = 21,834.39 × 6,238.65
  4. Step 4: Simplify right side
    14,568.48x = 136,217,117.17
  5. Step 5: Solve for x
    x = 136,217,117.17/14,568.48
  6. Step 6: Final answer
    x = 9,350.13

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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.