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Finding the Fourth Proportional to 16,164.96, 24,233.06 and 6,311.14

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Solution

The fourth proportional to 16,164.96, 24,233.06 and 6,311.14 is: 9,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.96 : 24,233.06 = 6,311.14 : x
  2. Step 2: Convert to fraction form
    16,164.96/24,233.06 = 6,311.14/x
  3. Step 3: Cross multiply
    16,164.96x = 24,233.06 × 6,311.14
  4. Step 4: Simplify right side
    16,164.96x = 152,938,081.57
  5. Step 5: Solve for x
    x = 152,938,081.57/16,164.96
  6. Step 6: Final answer
    x = 9,461.09

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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.