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Finding the Fourth Proportional to 22,580.81, 33,872.03 and 7,790.21

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Solution

The fourth proportional to 22,580.81, 33,872.03 and 7,790.21 is: 11,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.81 : 33,872.03 = 7,790.21 : x
  2. Step 2: Convert to fraction form
    22,580.81/33,872.03 = 7,790.21/x
  3. Step 3: Cross multiply
    22,580.81x = 33,872.03 × 7,790.21
  4. Step 4: Simplify right side
    22,580.81x = 263,870,226.83
  5. Step 5: Solve for x
    x = 263,870,226.83/22,580.81
  6. Step 6: Final answer
    x = 11,685.60

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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.