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Finding the Fourth Proportional to 24,387.16, 36,577.62 and 6,858.28

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Solution

The fourth proportional to 24,387.16, 36,577.62 and 6,858.28 is: 10,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.16 : 36,577.62 = 6,858.28 : x
  2. Step 2: Convert to fraction form
    24,387.16/36,577.62 = 6,858.28/x
  3. Step 3: Cross multiply
    24,387.16x = 36,577.62 × 6,858.28
  4. Step 4: Simplify right side
    24,387.16x = 250,859,559.69
  5. Step 5: Solve for x
    x = 250,859,559.69/24,387.16
  6. Step 6: Final answer
    x = 10,286.54

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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.