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Finding the Fourth Proportional to 23,286.59, 32,138.66 and 13,219.10

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Solution

The fourth proportional to 23,286.59, 32,138.66 and 13,219.10 is: 18,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286.59 : 32,138.66 = 13,219.10 : x
  2. Step 2: Convert to fraction form
    23,286.59/32,138.66 = 13,219.10/x
  3. Step 3: Cross multiply
    23,286.59x = 32,138.66 × 13,219.10
  4. Step 4: Simplify right side
    23,286.59x = 424,843,933.62
  5. Step 5: Solve for x
    x = 424,843,933.62/23,286.59
  6. Step 6: Final answer
    x = 18,244.15

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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.