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Finding the Fourth Proportional to 27,189.98, 40,778.64 and 7,470.12

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Solution

The fourth proportional to 27,189.98, 40,778.64 and 7,470.12 is: 11,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.98 : 40,778.64 = 7,470.12 : x
  2. Step 2: Convert to fraction form
    27,189.98/40,778.64 = 7,470.12/x
  3. Step 3: Cross multiply
    27,189.98x = 40,778.64 × 7,470.12
  4. Step 4: Simplify right side
    27,189.98x = 304,621,334.24
  5. Step 5: Solve for x
    x = 304,621,334.24/27,189.98
  6. Step 6: Final answer
    x = 11,203.44

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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.