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Finding the Fourth Proportional to 22,331.70, 33,485.40 and 8,291.16

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Solution

The fourth proportional to 22,331.70, 33,485.40 and 8,291.16 is: 12,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.70 : 33,485.40 = 8,291.16 : x
  2. Step 2: Convert to fraction form
    22,331.70/33,485.40 = 8,291.16/x
  3. Step 3: Cross multiply
    22,331.70x = 33,485.40 × 8,291.16
  4. Step 4: Simplify right side
    22,331.70x = 277,632,809.06
  5. Step 5: Solve for x
    x = 277,632,809.06/22,331.70
  6. Step 6: Final answer
    x = 12,432.23

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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.