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Finding the Fourth Proportional to 18,538.26, 27,737.62 and 13,002.40

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Solution

The fourth proportional to 18,538.26, 27,737.62 and 13,002.40 is: 19,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.26 : 27,737.62 = 13,002.40 : x
  2. Step 2: Convert to fraction form
    18,538.26/27,737.62 = 13,002.40/x
  3. Step 3: Cross multiply
    18,538.26x = 27,737.62 × 13,002.40
  4. Step 4: Simplify right side
    18,538.26x = 360,655,630.29
  5. Step 5: Solve for x
    x = 360,655,630.29/18,538.26
  6. Step 6: Final answer
    x = 19,454.66

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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.