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Finding the Fourth Proportional to 16,292.50, 22,486.05 and 10,324.71

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Solution

The fourth proportional to 16,292.50, 22,486.05 and 10,324.71 is: 14,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.50 : 22,486.05 = 10,324.71 : x
  2. Step 2: Convert to fraction form
    16,292.50/22,486.05 = 10,324.71/x
  3. Step 3: Cross multiply
    16,292.50x = 22,486.05 × 10,324.71
  4. Step 4: Simplify right side
    16,292.50x = 232,161,945.30
  5. Step 5: Solve for x
    x = 232,161,945.30/16,292.50
  6. Step 6: Final answer
    x = 14,249.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.