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Finding the Fourth Proportional to 16,196.22, 24,294.36 and 4,509.44

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Solution

The fourth proportional to 16,196.22, 24,294.36 and 4,509.44 is: 6,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.22 : 24,294.36 = 4,509.44 : x
  2. Step 2: Convert to fraction form
    16,196.22/24,294.36 = 4,509.44/x
  3. Step 3: Cross multiply
    16,196.22x = 24,294.36 × 4,509.44
  4. Step 4: Simplify right side
    16,196.22x = 109,553,958.76
  5. Step 5: Solve for x
    x = 109,553,958.76/16,196.22
  6. Step 6: Final answer
    x = 6,764.17

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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.