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Finding the Fourth Proportional to 16,196.16, 24,297.88 and 4,952.48

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Solution

The fourth proportional to 16,196.16, 24,297.88 and 4,952.48 is: 7,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.16 : 24,297.88 = 4,952.48 : x
  2. Step 2: Convert to fraction form
    16,196.16/24,297.88 = 4,952.48/x
  3. Step 3: Cross multiply
    16,196.16x = 24,297.88 × 4,952.48
  4. Step 4: Simplify right side
    16,196.16x = 120,334,764.74
  5. Step 5: Solve for x
    x = 120,334,764.74/16,196.16
  6. Step 6: Final answer
    x = 7,429.83

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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.