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Finding the Fourth Proportional to 24,178.52, 33,364.64 and 13,423.97

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Solution

The fourth proportional to 24,178.52, 33,364.64 and 13,423.97 is: 18,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.52 : 33,364.64 = 13,423.97 : x
  2. Step 2: Convert to fraction form
    24,178.52/33,364.64 = 13,423.97/x
  3. Step 3: Cross multiply
    24,178.52x = 33,364.64 × 13,423.97
  4. Step 4: Simplify right side
    24,178.52x = 447,885,692.48
  5. Step 5: Solve for x
    x = 447,885,692.48/24,178.52
  6. Step 6: Final answer
    x = 18,524.12

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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.