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Finding the Fourth Proportional to 22,466.40, 33,703.92 and 6,884.16

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Solution

The fourth proportional to 22,466.40, 33,703.92 and 6,884.16 is: 10,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466.40 : 33,703.92 = 6,884.16 : x
  2. Step 2: Convert to fraction form
    22,466.40/33,703.92 = 6,884.16/x
  3. Step 3: Cross multiply
    22,466.40x = 33,703.92 × 6,884.16
  4. Step 4: Simplify right side
    22,466.40x = 232,023,177.91
  5. Step 5: Solve for x
    x = 232,023,177.91/22,466.40
  6. Step 6: Final answer
    x = 10,327.56

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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.