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Finding the Fourth Proportional to 17,206.40, 25,787.72 and 8,434.10

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Solution

The fourth proportional to 17,206.40, 25,787.72 and 8,434.10 is: 12,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.40 : 25,787.72 = 8,434.10 : x
  2. Step 2: Convert to fraction form
    17,206.40/25,787.72 = 8,434.10/x
  3. Step 3: Cross multiply
    17,206.40x = 25,787.72 × 8,434.10
  4. Step 4: Simplify right side
    17,206.40x = 217,496,209.25
  5. Step 5: Solve for x
    x = 217,496,209.25/17,206.40
  6. Step 6: Final answer
    x = 12,640.43

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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.