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Finding the Fourth Proportional to 14,249.66, 21,378.81 and 10,097.70

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Solution

The fourth proportional to 14,249.66, 21,378.81 and 10,097.70 is: 15,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.66 : 21,378.81 = 10,097.70 : x
  2. Step 2: Convert to fraction form
    14,249.66/21,378.81 = 10,097.70/x
  3. Step 3: Cross multiply
    14,249.66x = 21,378.81 × 10,097.70
  4. Step 4: Simplify right side
    14,249.66x = 215,876,809.74
  5. Step 5: Solve for x
    x = 215,876,809.74/14,249.66
  6. Step 6: Final answer
    x = 15,149.62

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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.