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Finding the Fourth Proportional to 24,218.48, 36,329.25 and 6,448.85

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Solution

The fourth proportional to 24,218.48, 36,329.25 and 6,448.85 is: 9,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.48 : 36,329.25 = 6,448.85 : x
  2. Step 2: Convert to fraction form
    24,218.48/36,329.25 = 6,448.85/x
  3. Step 3: Cross multiply
    24,218.48x = 36,329.25 × 6,448.85
  4. Step 4: Simplify right side
    24,218.48x = 234,281,702.22
  5. Step 5: Solve for x
    x = 234,281,702.22/24,218.48
  6. Step 6: Final answer
    x = 9,673.68

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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.