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Finding the Fourth Proportional to 24,054.75, 36,077.67 and 6,522.30

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Solution

The fourth proportional to 24,054.75, 36,077.67 and 6,522.30 is: 9,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054.75 : 36,077.67 = 6,522.30 : x
  2. Step 2: Convert to fraction form
    24,054.75/36,077.67 = 6,522.30/x
  3. Step 3: Cross multiply
    24,054.75x = 36,077.67 × 6,522.30
  4. Step 4: Simplify right side
    24,054.75x = 235,309,387.04
  5. Step 5: Solve for x
    x = 235,309,387.04/24,054.75
  6. Step 6: Final answer
    x = 9,782.24

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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.