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Finding the Fourth Proportional to 18,277.80, 27,418.12 and 5,798.54

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Solution

The fourth proportional to 18,277.80, 27,418.12 and 5,798.54 is: 8,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.80 : 27,418.12 = 5,798.54 : x
  2. Step 2: Convert to fraction form
    18,277.80/27,418.12 = 5,798.54/x
  3. Step 3: Cross multiply
    18,277.80x = 27,418.12 × 5,798.54
  4. Step 4: Simplify right side
    18,277.80x = 158,985,065.54
  5. Step 5: Solve for x
    x = 158,985,065.54/18,277.80
  6. Step 6: Final answer
    x = 8,698.26

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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.