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Finding the Fourth Proportional to 16,281.84, 24,422.75 and 10,694.80

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Solution

The fourth proportional to 16,281.84, 24,422.75 and 10,694.80 is: 16,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.84 : 24,422.75 = 10,694.80 : x
  2. Step 2: Convert to fraction form
    16,281.84/24,422.75 = 10,694.80/x
  3. Step 3: Cross multiply
    16,281.84x = 24,422.75 × 10,694.80
  4. Step 4: Simplify right side
    16,281.84x = 261,196,443.86
  5. Step 5: Solve for x
    x = 261,196,443.86/16,281.84
  6. Step 6: Final answer
    x = 16,042.19

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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.