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Finding the Fourth Proportional to 24,288.96, 33,518.91 and 13,678.80

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Solution

The fourth proportional to 24,288.96, 33,518.91 and 13,678.80 is: 18,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.96 : 33,518.91 = 13,678.80 : x
  2. Step 2: Convert to fraction form
    24,288.96/33,518.91 = 13,678.80/x
  3. Step 3: Cross multiply
    24,288.96x = 33,518.91 × 13,678.80
  4. Step 4: Simplify right side
    24,288.96x = 458,498,466.11
  5. Step 5: Solve for x
    x = 458,498,466.11/24,288.96
  6. Step 6: Final answer
    x = 18,876.83

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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.