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Finding the Fourth Proportional to 24,190.40, 33,381.76 and 14,119.44

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Solution

The fourth proportional to 24,190.40, 33,381.76 and 14,119.44 is: 19,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.40 : 33,381.76 = 14,119.44 : x
  2. Step 2: Convert to fraction form
    24,190.40/33,381.76 = 14,119.44/x
  3. Step 3: Cross multiply
    24,190.40x = 33,381.76 × 14,119.44
  4. Step 4: Simplify right side
    24,190.40x = 471,331,757.41
  5. Step 5: Solve for x
    x = 471,331,757.41/24,190.40
  6. Step 6: Final answer
    x = 19,484.25

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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.