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Finding the Fourth Proportional to 22,314.72, 33,466.48 and 9,170.72

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Solution

The fourth proportional to 22,314.72, 33,466.48 and 9,170.72 is: 13,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.72 : 33,466.48 = 9,170.72 : x
  2. Step 2: Convert to fraction form
    22,314.72/33,466.48 = 9,170.72/x
  3. Step 3: Cross multiply
    22,314.72x = 33,466.48 × 9,170.72
  4. Step 4: Simplify right side
    22,314.72x = 306,911,717.47
  5. Step 5: Solve for x
    x = 306,911,717.47/22,314.72
  6. Step 6: Final answer
    x = 13,753.78

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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.