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Finding the Fourth Proportional to 16,878.67, 25,318.42 and 5,785.29

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Solution

The fourth proportional to 16,878.67, 25,318.42 and 5,785.29 is: 8,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.67 : 25,318.42 = 5,785.29 : x
  2. Step 2: Convert to fraction form
    16,878.67/25,318.42 = 5,785.29/x
  3. Step 3: Cross multiply
    16,878.67x = 25,318.42 × 5,785.29
  4. Step 4: Simplify right side
    16,878.67x = 146,474,387.58
  5. Step 5: Solve for x
    x = 146,474,387.58/16,878.67
  6. Step 6: Final answer
    x = 8,678.08

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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.