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Finding the Fourth Proportional to 16,876.50, 25,318.34 and 5,780.22

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Solution

The fourth proportional to 16,876.50, 25,318.34 and 5,780.22 is: 8,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.50 : 25,318.34 = 5,780.22 : x
  2. Step 2: Convert to fraction form
    16,876.50/25,318.34 = 5,780.22/x
  3. Step 3: Cross multiply
    16,876.50x = 25,318.34 × 5,780.22
  4. Step 4: Simplify right side
    16,876.50x = 146,345,575.23
  5. Step 5: Solve for x
    x = 146,345,575.23/16,876.50
  6. Step 6: Final answer
    x = 8,671.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.