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Finding the Fourth Proportional to 18,104.32, 27,182.40 and 13,438.72

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Solution

The fourth proportional to 18,104.32, 27,182.40 and 13,438.72 is: 20,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,104.32 : 27,182.40 = 13,438.72 : x
  2. Step 2: Convert to fraction form
    18,104.32/27,182.40 = 13,438.72/x
  3. Step 3: Cross multiply
    18,104.32x = 27,182.40 × 13,438.72
  4. Step 4: Simplify right side
    18,104.32x = 365,296,662.53
  5. Step 5: Solve for x
    x = 365,296,662.53/18,104.32
  6. Step 6: Final answer
    x = 20,177.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.