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Finding the Fourth Proportional to 17,461.60, 26,202 and 8,227.36

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Solution

The fourth proportional to 17,461.60, 26,202 and 8,227.36 is: 12,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.60 : 26,202 = 8,227.36 : x
  2. Step 2: Convert to fraction form
    17,461.60/26,202 = 8,227.36/x
  3. Step 3: Cross multiply
    17,461.60x = 26,202 × 8,227.36
  4. Step 4: Simplify right side
    17,461.60x = 215,573,286.72
  5. Step 5: Solve for x
    x = 215,573,286.72/17,461.60
  6. Step 6: Final answer
    x = 12,345.56

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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.