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Finding the Fourth Proportional to 22,117.69, 33,143.72 and 16,245.60

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Solution

The fourth proportional to 22,117.69, 33,143.72 and 16,245.60 is: 24,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.69 : 33,143.72 = 16,245.60 : x
  2. Step 2: Convert to fraction form
    22,117.69/33,143.72 = 16,245.60/x
  3. Step 3: Cross multiply
    22,117.69x = 33,143.72 × 16,245.60
  4. Step 4: Simplify right side
    22,117.69x = 538,439,473.04
  5. Step 5: Solve for x
    x = 538,439,473.04/22,117.69
  6. Step 6: Final answer
    x = 24,344.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.