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Finding the Fourth Proportional to 18,257.36, 27,389.41 and 5,780.52

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Solution

The fourth proportional to 18,257.36, 27,389.41 and 5,780.52 is: 8,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.36 : 27,389.41 = 5,780.52 : x
  2. Step 2: Convert to fraction form
    18,257.36/27,389.41 = 5,780.52/x
  3. Step 3: Cross multiply
    18,257.36x = 27,389.41 × 5,780.52
  4. Step 4: Simplify right side
    18,257.36x = 158,325,032.29
  5. Step 5: Solve for x
    x = 158,325,032.29/18,257.36
  6. Step 6: Final answer
    x = 8,671.85

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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.