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Finding the Fourth Proportional to 23,249.80, 32,084.59 and 13,180.14

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Solution

The fourth proportional to 23,249.80, 32,084.59 and 13,180.14 is: 18,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.80 : 32,084.59 = 13,180.14 : x
  2. Step 2: Convert to fraction form
    23,249.80/32,084.59 = 13,180.14/x
  3. Step 3: Cross multiply
    23,249.80x = 32,084.59 × 13,180.14
  4. Step 4: Simplify right side
    23,249.80x = 422,879,388.04
  5. Step 5: Solve for x
    x = 422,879,388.04/23,249.80
  6. Step 6: Final answer
    x = 18,188.52

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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.