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Finding the Fourth Proportional to 24,219.72, 33,419.70 and 14,149.08

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Solution

The fourth proportional to 24,219.72, 33,419.70 and 14,149.08 is: 19,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.72 : 33,419.70 = 14,149.08 : x
  2. Step 2: Convert to fraction form
    24,219.72/33,419.70 = 14,149.08/x
  3. Step 3: Cross multiply
    24,219.72x = 33,419.70 × 14,149.08
  4. Step 4: Simplify right side
    24,219.72x = 472,858,008.88
  5. Step 5: Solve for x
    x = 472,858,008.88/24,219.72
  6. Step 6: Final answer
    x = 19,523.68

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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.