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Finding the Fourth Proportional to 24,392.50, 33,661.66 and 13,214.50

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Solution

The fourth proportional to 24,392.50, 33,661.66 and 13,214.50 is: 18,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.50 : 33,661.66 = 13,214.50 : x
  2. Step 2: Convert to fraction form
    24,392.50/33,661.66 = 13,214.50/x
  3. Step 3: Cross multiply
    24,392.50x = 33,661.66 × 13,214.50
  4. Step 4: Simplify right side
    24,392.50x = 444,822,006.07
  5. Step 5: Solve for x
    x = 444,822,006.07/24,392.50
  6. Step 6: Final answer
    x = 18,236.02

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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.