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Finding the Fourth Proportional to 24,976.48, 34,469.93 and 13,647.70

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Solution

The fourth proportional to 24,976.48, 34,469.93 and 13,647.70 is: 18,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.48 : 34,469.93 = 13,647.70 : x
  2. Step 2: Convert to fraction form
    24,976.48/34,469.93 = 13,647.70/x
  3. Step 3: Cross multiply
    24,976.48x = 34,469.93 × 13,647.70
  4. Step 4: Simplify right side
    24,976.48x = 470,435,023.07
  5. Step 5: Solve for x
    x = 470,435,023.07/24,976.48
  6. Step 6: Final answer
    x = 18,835.12

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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.