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Finding the Fourth Proportional to 17,436, 26,165.52 and 8,202.72

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Solution

The fourth proportional to 17,436, 26,165.52 and 8,202.72 is: 12,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,436 : 26,165.52 = 8,202.72 : x
  2. Step 2: Convert to fraction form
    17,436/26,165.52 = 8,202.72/x
  3. Step 3: Cross multiply
    17,436x = 26,165.52 × 8,202.72
  4. Step 4: Simplify right side
    17,436x = 214,628,434.21
  5. Step 5: Solve for x
    x = 214,628,434.21/17,436
  6. Step 6: Final answer
    x = 12,309.50

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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.