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Finding the Fourth Proportional to 24,217.63, 36,326.37 and 6,448.29

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Solution

The fourth proportional to 24,217.63, 36,326.37 and 6,448.29 is: 9,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.63 : 36,326.37 = 6,448.29 : x
  2. Step 2: Convert to fraction form
    24,217.63/36,326.37 = 6,448.29/x
  3. Step 3: Cross multiply
    24,217.63x = 36,326.37 × 6,448.29
  4. Step 4: Simplify right side
    24,217.63x = 234,242,968.41
  5. Step 5: Solve for x
    x = 234,242,968.41/24,217.63
  6. Step 6: Final answer
    x = 9,672.42

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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.