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Finding the Fourth Proportional to 16,876.56, 25,314.78 and 4,564.56

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Solution

The fourth proportional to 16,876.56, 25,314.78 and 4,564.56 is: 6,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.56 : 25,314.78 = 4,564.56 : x
  2. Step 2: Convert to fraction form
    16,876.56/25,314.78 = 4,564.56/x
  3. Step 3: Cross multiply
    16,876.56x = 25,314.78 × 4,564.56
  4. Step 4: Simplify right side
    16,876.56x = 115,550,832.20
  5. Step 5: Solve for x
    x = 115,550,832.20/16,876.56
  6. Step 6: Final answer
    x = 6,846.82

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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.