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Finding the Fourth Proportional to 16,876.96, 25,314.48 and 4,564

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Solution

The fourth proportional to 16,876.96, 25,314.48 and 4,564 is: 6,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.96 : 25,314.48 = 4,564 : x
  2. Step 2: Convert to fraction form
    16,876.96/25,314.48 = 4,564/x
  3. Step 3: Cross multiply
    16,876.96x = 25,314.48 × 4,564
  4. Step 4: Simplify right side
    16,876.96x = 115,535,286.72
  5. Step 5: Solve for x
    x = 115,535,286.72/16,876.96
  6. Step 6: Final answer
    x = 6,845.74

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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.