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Finding the Fourth Proportional to 16,211.09, 24,318.75 and 6,349.08

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Solution

The fourth proportional to 16,211.09, 24,318.75 and 6,349.08 is: 9,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.09 : 24,318.75 = 6,349.08 : x
  2. Step 2: Convert to fraction form
    16,211.09/24,318.75 = 6,349.08/x
  3. Step 3: Cross multiply
    16,211.09x = 24,318.75 × 6,349.08
  4. Step 4: Simplify right side
    16,211.09x = 154,401,705.12
  5. Step 5: Solve for x
    x = 154,401,705.12/16,211.09
  6. Step 6: Final answer
    x = 9,524.45

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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.