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Finding the Fourth Proportional to 23,319.57, 32,181 and 12,709.20

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Solution

The fourth proportional to 23,319.57, 32,181 and 12,709.20 is: 17,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,319.57 : 32,181 = 12,709.20 : x
  2. Step 2: Convert to fraction form
    23,319.57/32,181 = 12,709.20/x
  3. Step 3: Cross multiply
    23,319.57x = 32,181 × 12,709.20
  4. Step 4: Simplify right side
    23,319.57x = 408,994,765.20
  5. Step 5: Solve for x
    x = 408,994,765.20/23,319.57
  6. Step 6: Final answer
    x = 17,538.69

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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.