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Finding the Fourth Proportional to 17,517.44, 26,256.72 and 8,264

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Solution

The fourth proportional to 17,517.44, 26,256.72 and 8,264 is: 12,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.44 : 26,256.72 = 8,264 : x
  2. Step 2: Convert to fraction form
    17,517.44/26,256.72 = 8,264/x
  3. Step 3: Cross multiply
    17,517.44x = 26,256.72 × 8,264
  4. Step 4: Simplify right side
    17,517.44x = 216,985,534.08
  5. Step 5: Solve for x
    x = 216,985,534.08/17,517.44
  6. Step 6: Final answer
    x = 12,386.83

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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.