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Finding the Fourth Proportional to 17,628.75, 24,327.90 and 9,670.80

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Solution

The fourth proportional to 17,628.75, 24,327.90 and 9,670.80 is: 13,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.75 : 24,327.90 = 9,670.80 : x
  2. Step 2: Convert to fraction form
    17,628.75/24,327.90 = 9,670.80/x
  3. Step 3: Cross multiply
    17,628.75x = 24,327.90 × 9,670.80
  4. Step 4: Simplify right side
    17,628.75x = 235,270,255.32
  5. Step 5: Solve for x
    x = 235,270,255.32/17,628.75
  6. Step 6: Final answer
    x = 13,345.83

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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.