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Finding the Fourth Proportional to 16,310.34, 24,464.16 and 7,545.24

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Solution

The fourth proportional to 16,310.34, 24,464.16 and 7,545.24 is: 11,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.34 : 24,464.16 = 7,545.24 : x
  2. Step 2: Convert to fraction form
    16,310.34/24,464.16 = 7,545.24/x
  3. Step 3: Cross multiply
    16,310.34x = 24,464.16 × 7,545.24
  4. Step 4: Simplify right side
    16,310.34x = 184,587,958.60
  5. Step 5: Solve for x
    x = 184,587,958.60/16,310.34
  6. Step 6: Final answer
    x = 11,317.24

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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.