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Finding the Fourth Proportional to 22,466.52, 33,704.64 and 6,883.74

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Solution

The fourth proportional to 22,466.52, 33,704.64 and 6,883.74 is: 10,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466.52 : 33,704.64 = 6,883.74 : x
  2. Step 2: Convert to fraction form
    22,466.52/33,704.64 = 6,883.74/x
  3. Step 3: Cross multiply
    22,466.52x = 33,704.64 × 6,883.74
  4. Step 4: Simplify right side
    22,466.52x = 232,013,978.55
  5. Step 5: Solve for x
    x = 232,013,978.55/22,466.52
  6. Step 6: Final answer
    x = 10,327.10

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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.