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Finding the Fourth Proportional to 23,801.72, 35,705.81 and 8,220.56

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Solution

The fourth proportional to 23,801.72, 35,705.81 and 8,220.56 is: 12,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.72 : 35,705.81 = 8,220.56 : x
  2. Step 2: Convert to fraction form
    23,801.72/35,705.81 = 8,220.56/x
  3. Step 3: Cross multiply
    23,801.72x = 35,705.81 × 8,220.56
  4. Step 4: Simplify right side
    23,801.72x = 293,521,595.48
  5. Step 5: Solve for x
    x = 293,521,595.48/23,801.72
  6. Step 6: Final answer
    x = 12,331.95

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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.