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Finding the Fourth Proportional to 16,951.50, 25,427.55 and 6,426.42

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Solution

The fourth proportional to 16,951.50, 25,427.55 and 6,426.42 is: 9,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.50 : 25,427.55 = 6,426.42 : x
  2. Step 2: Convert to fraction form
    16,951.50/25,427.55 = 6,426.42/x
  3. Step 3: Cross multiply
    16,951.50x = 25,427.55 × 6,426.42
  4. Step 4: Simplify right side
    16,951.50x = 163,408,115.87
  5. Step 5: Solve for x
    x = 163,408,115.87/16,951.50
  6. Step 6: Final answer
    x = 9,639.74

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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.