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Finding the Fourth Proportional to 24,078.76, 33,229.98 and 13,467.76

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Solution

The fourth proportional to 24,078.76, 33,229.98 and 13,467.76 is: 18,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.76 : 33,229.98 = 13,467.76 : x
  2. Step 2: Convert to fraction form
    24,078.76/33,229.98 = 13,467.76/x
  3. Step 3: Cross multiply
    24,078.76x = 33,229.98 × 13,467.76
  4. Step 4: Simplify right side
    24,078.76x = 447,533,395.44
  5. Step 5: Solve for x
    x = 447,533,395.44/24,078.76
  6. Step 6: Final answer
    x = 18,586.23

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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.