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Finding the Fourth Proportional to 24,257.67, 36,387.54 and 8,464.29

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Solution

The fourth proportional to 24,257.67, 36,387.54 and 8,464.29 is: 12,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.67 : 36,387.54 = 8,464.29 : x
  2. Step 2: Convert to fraction form
    24,257.67/36,387.54 = 8,464.29/x
  3. Step 3: Cross multiply
    24,257.67x = 36,387.54 × 8,464.29
  4. Step 4: Simplify right side
    24,257.67x = 307,994,690.95
  5. Step 5: Solve for x
    x = 307,994,690.95/24,257.67
  6. Step 6: Final answer
    x = 12,696.80

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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.