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Finding the Fourth Proportional to 17,440, 26,171.52 and 8,206.72

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Solution

The fourth proportional to 17,440, 26,171.52 and 8,206.72 is: 12,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440 : 26,171.52 = 8,206.72 : x
  2. Step 2: Convert to fraction form
    17,440/26,171.52 = 8,206.72/x
  3. Step 3: Cross multiply
    17,440x = 26,171.52 × 8,206.72
  4. Step 4: Simplify right side
    17,440x = 214,782,336.61
  5. Step 5: Solve for x
    x = 214,782,336.61/17,440
  6. Step 6: Final answer
    x = 12,315.50

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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.