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Finding the Fourth Proportional to 22,190.72, 33,282.72 and 9,708.57

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Solution

The fourth proportional to 22,190.72, 33,282.72 and 9,708.57 is: 14,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,190.72 : 33,282.72 = 9,708.57 : x
  2. Step 2: Convert to fraction form
    22,190.72/33,282.72 = 9,708.57/x
  3. Step 3: Cross multiply
    22,190.72x = 33,282.72 × 9,708.57
  4. Step 4: Simplify right side
    22,190.72x = 323,127,616.91
  5. Step 5: Solve for x
    x = 323,127,616.91/22,190.72
  6. Step 6: Final answer
    x = 14,561.39

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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.