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Finding the Fourth Proportional to 24,109.98, 33,266.40 and 14,551.43

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Solution

The fourth proportional to 24,109.98, 33,266.40 and 14,551.43 is: 20,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.98 : 33,266.40 = 14,551.43 : x
  2. Step 2: Convert to fraction form
    24,109.98/33,266.40 = 14,551.43/x
  3. Step 3: Cross multiply
    24,109.98x = 33,266.40 × 14,551.43
  4. Step 4: Simplify right side
    24,109.98x = 484,073,524.62
  5. Step 5: Solve for x
    x = 484,073,524.62/24,109.98
  6. Step 6: Final answer
    x = 20,077.72

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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.