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Finding the Fourth Proportional to 24,078.84, 33,230.43 and 13,469.46

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Solution

The fourth proportional to 24,078.84, 33,230.43 and 13,469.46 is: 18,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.84 : 33,230.43 = 13,469.46 : x
  2. Step 2: Convert to fraction form
    24,078.84/33,230.43 = 13,469.46/x
  3. Step 3: Cross multiply
    24,078.84x = 33,230.43 × 13,469.46
  4. Step 4: Simplify right side
    24,078.84x = 447,595,947.67
  5. Step 5: Solve for x
    x = 447,595,947.67/24,078.84
  6. Step 6: Final answer
    x = 18,588.77

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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.