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Finding the Fourth Proportional to 24,427.32, 36,638.94 and 7,786.68

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Solution

The fourth proportional to 24,427.32, 36,638.94 and 7,786.68 is: 11,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.32 : 36,638.94 = 7,786.68 : x
  2. Step 2: Convert to fraction form
    24,427.32/36,638.94 = 7,786.68/x
  3. Step 3: Cross multiply
    24,427.32x = 36,638.94 × 7,786.68
  4. Step 4: Simplify right side
    24,427.32x = 285,295,701.32
  5. Step 5: Solve for x
    x = 285,295,701.32/24,427.32
  6. Step 6: Final answer
    x = 11,679.37

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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.