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Finding the Fourth Proportional to 17,473, 26,224.08 and 8,239

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Solution

The fourth proportional to 17,473, 26,224.08 and 8,239 is: 12,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473 : 26,224.08 = 8,239 : x
  2. Step 2: Convert to fraction form
    17,473/26,224.08 = 8,239/x
  3. Step 3: Cross multiply
    17,473x = 26,224.08 × 8,239
  4. Step 4: Simplify right side
    17,473x = 216,060,195.12
  5. Step 5: Solve for x
    x = 216,060,195.12/17,473
  6. Step 6: Final answer
    x = 12,365.37

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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.