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Finding the Fourth Proportional to 17,029.74, 23,499 and 9,474.15

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Solution

The fourth proportional to 17,029.74, 23,499 and 9,474.15 is: 13,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029.74 : 23,499 = 9,474.15 : x
  2. Step 2: Convert to fraction form
    17,029.74/23,499 = 9,474.15/x
  3. Step 3: Cross multiply
    17,029.74x = 23,499 × 9,474.15
  4. Step 4: Simplify right side
    17,029.74x = 222,633,050.85
  5. Step 5: Solve for x
    x = 222,633,050.85/17,029.74
  6. Step 6: Final answer
    x = 13,073.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.