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Finding the Fourth Proportional to 17,412.75, 24,029.46 and 9,454.80

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Solution

The fourth proportional to 17,412.75, 24,029.46 and 9,454.80 is: 13,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.75 : 24,029.46 = 9,454.80 : x
  2. Step 2: Convert to fraction form
    17,412.75/24,029.46 = 9,454.80/x
  3. Step 3: Cross multiply
    17,412.75x = 24,029.46 × 9,454.80
  4. Step 4: Simplify right side
    17,412.75x = 227,193,738.41
  5. Step 5: Solve for x
    x = 227,193,738.41/17,412.75
  6. Step 6: Final answer
    x = 13,047.55

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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.