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Finding the Fourth Proportional to 16,310.42, 24,464.07 and 5,214.12

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Solution

The fourth proportional to 16,310.42, 24,464.07 and 5,214.12 is: 7,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.42 : 24,464.07 = 5,214.12 : x
  2. Step 2: Convert to fraction form
    16,310.42/24,464.07 = 5,214.12/x
  3. Step 3: Cross multiply
    16,310.42x = 24,464.07 × 5,214.12
  4. Step 4: Simplify right side
    16,310.42x = 127,558,596.67
  5. Step 5: Solve for x
    x = 127,558,596.67/16,310.42
  6. Step 6: Final answer
    x = 7,820.68

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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.