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Finding the Fourth Proportional to 24,346.40, 36,524.96 and 8,764

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Solution

The fourth proportional to 24,346.40, 36,524.96 and 8,764 is: 13,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.40 : 36,524.96 = 8,764 : x
  2. Step 2: Convert to fraction form
    24,346.40/36,524.96 = 8,764/x
  3. Step 3: Cross multiply
    24,346.40x = 36,524.96 × 8,764
  4. Step 4: Simplify right side
    24,346.40x = 320,104,749.44
  5. Step 5: Solve for x
    x = 320,104,749.44/24,346.40
  6. Step 6: Final answer
    x = 13,147.93

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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.