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Finding the Fourth Proportional to 24,412.97, 33,692.40 and 14,853.53

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Solution

The fourth proportional to 24,412.97, 33,692.40 and 14,853.53 is: 20,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.97 : 33,692.40 = 14,853.53 : x
  2. Step 2: Convert to fraction form
    24,412.97/33,692.40 = 14,853.53/x
  3. Step 3: Cross multiply
    24,412.97x = 33,692.40 × 14,853.53
  4. Step 4: Simplify right side
    24,412.97x = 500,451,158.40
  5. Step 5: Solve for x
    x = 500,451,158.40/24,412.97
  6. Step 6: Final answer
    x = 20,499.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.