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Finding the Fourth Proportional to 11,622.80, 17,416.92 and 7,671.44

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Solution

The fourth proportional to 11,622.80, 17,416.92 and 7,671.44 is: 11,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.80 : 17,416.92 = 7,671.44 : x
  2. Step 2: Convert to fraction form
    11,622.80/17,416.92 = 7,671.44/x
  3. Step 3: Cross multiply
    11,622.80x = 17,416.92 × 7,671.44
  4. Step 4: Simplify right side
    11,622.80x = 133,612,856.76
  5. Step 5: Solve for x
    x = 133,612,856.76/11,622.80
  6. Step 6: Final answer
    x = 11,495.75

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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.