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Finding the Fourth Proportional to 24,214.41, 33,416.21 and 14,654.19

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Solution

The fourth proportional to 24,214.41, 33,416.21 and 14,654.19 is: 20,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.41 : 33,416.21 = 14,654.19 : x
  2. Step 2: Convert to fraction form
    24,214.41/33,416.21 = 14,654.19/x
  3. Step 3: Cross multiply
    24,214.41x = 33,416.21 × 14,654.19
  4. Step 4: Simplify right side
    24,214.41x = 489,687,346.79
  5. Step 5: Solve for x
    x = 489,687,346.79/24,214.41
  6. Step 6: Final answer
    x = 20,222.97

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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.