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Finding the Fourth Proportional to 16,408.12, 24,614.59 and 5,311.12

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Solution

The fourth proportional to 16,408.12, 24,614.59 and 5,311.12 is: 7,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.12 : 24,614.59 = 5,311.12 : x
  2. Step 2: Convert to fraction form
    16,408.12/24,614.59 = 5,311.12/x
  3. Step 3: Cross multiply
    16,408.12x = 24,614.59 × 5,311.12
  4. Step 4: Simplify right side
    16,408.12x = 130,730,918.17
  5. Step 5: Solve for x
    x = 130,730,918.17/16,408.12
  6. Step 6: Final answer
    x = 7,967.46

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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.