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Finding the Fourth Proportional to 24,422.64, 36,609.27 and 9,625.80

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Solution

The fourth proportional to 24,422.64, 36,609.27 and 9,625.80 is: 14,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.64 : 36,609.27 = 9,625.80 : x
  2. Step 2: Convert to fraction form
    24,422.64/36,609.27 = 9,625.80/x
  3. Step 3: Cross multiply
    24,422.64x = 36,609.27 × 9,625.80
  4. Step 4: Simplify right side
    24,422.64x = 352,393,511.17
  5. Step 5: Solve for x
    x = 352,393,511.17/24,422.64
  6. Step 6: Final answer
    x = 14,428.97

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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.