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Finding the Fourth Proportional to 17,398.24, 26,100.48 and 8,164

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Solution

The fourth proportional to 17,398.24, 26,100.48 and 8,164 is: 12,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398.24 : 26,100.48 = 8,164 : x
  2. Step 2: Convert to fraction form
    17,398.24/26,100.48 = 8,164/x
  3. Step 3: Cross multiply
    17,398.24x = 26,100.48 × 8,164
  4. Step 4: Simplify right side
    17,398.24x = 213,084,318.72
  5. Step 5: Solve for x
    x = 213,084,318.72/17,398.24
  6. Step 6: Final answer
    x = 12,247.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.