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Finding the Fourth Proportional to 17,870.20, 26,785.23 and 8,387.17

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Solution

The fourth proportional to 17,870.20, 26,785.23 and 8,387.17 is: 12,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.20 : 26,785.23 = 8,387.17 : x
  2. Step 2: Convert to fraction form
    17,870.20/26,785.23 = 8,387.17/x
  3. Step 3: Cross multiply
    17,870.20x = 26,785.23 × 8,387.17
  4. Step 4: Simplify right side
    17,870.20x = 224,652,277.50
  5. Step 5: Solve for x
    x = 224,652,277.50/17,870.20
  6. Step 6: Final answer
    x = 12,571.34

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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.