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Finding the Fourth Proportional to 22,585.66, 33,854.73 and 10,874.14

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Solution

The fourth proportional to 22,585.66, 33,854.73 and 10,874.14 is: 16,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.66 : 33,854.73 = 10,874.14 : x
  2. Step 2: Convert to fraction form
    22,585.66/33,854.73 = 10,874.14/x
  3. Step 3: Cross multiply
    22,585.66x = 33,854.73 × 10,874.14
  4. Step 4: Simplify right side
    22,585.66x = 368,141,073.68
  5. Step 5: Solve for x
    x = 368,141,073.68/22,585.66
  6. Step 6: Final answer
    x = 16,299.77

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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.