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Finding the Fourth Proportional to 24,824.25, 34,257.47 and 14,217.30

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Solution

The fourth proportional to 24,824.25, 34,257.47 and 14,217.30 is: 19,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.25 : 34,257.47 = 14,217.30 : x
  2. Step 2: Convert to fraction form
    24,824.25/34,257.47 = 14,217.30/x
  3. Step 3: Cross multiply
    24,824.25x = 34,257.47 × 14,217.30
  4. Step 4: Simplify right side
    24,824.25x = 487,048,657.14
  5. Step 5: Solve for x
    x = 487,048,657.14/24,824.25
  6. Step 6: Final answer
    x = 19,619.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.