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Finding the Fourth Proportional to 16,109.64, 24,162.82 and 7,342.20

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Solution

The fourth proportional to 16,109.64, 24,162.82 and 7,342.20 is: 11,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.64 : 24,162.82 = 7,342.20 : x
  2. Step 2: Convert to fraction form
    16,109.64/24,162.82 = 7,342.20/x
  3. Step 3: Cross multiply
    16,109.64x = 24,162.82 × 7,342.20
  4. Step 4: Simplify right side
    16,109.64x = 177,408,257.00
  5. Step 5: Solve for x
    x = 177,408,257.00/16,109.64
  6. Step 6: Final answer
    x = 11,012.55

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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.