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Finding the Fourth Proportional to 18,456.98, 27,689.86 and 5,977

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Solution

The fourth proportional to 18,456.98, 27,689.86 and 5,977 is: 8,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,456.98 : 27,689.86 = 5,977 : x
  2. Step 2: Convert to fraction form
    18,456.98/27,689.86 = 5,977/x
  3. Step 3: Cross multiply
    18,456.98x = 27,689.86 × 5,977
  4. Step 4: Simplify right side
    18,456.98x = 165,502,293.22
  5. Step 5: Solve for x
    x = 165,502,293.22/18,456.98
  6. Step 6: Final answer
    x = 8,966.92

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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.