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Finding the Fourth Proportional to 16,212.16, 24,319.32 and 5,119.30

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Solution

The fourth proportional to 16,212.16, 24,319.32 and 5,119.30 is: 7,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.16 : 24,319.32 = 5,119.30 : x
  2. Step 2: Convert to fraction form
    16,212.16/24,319.32 = 5,119.30/x
  3. Step 3: Cross multiply
    16,212.16x = 24,319.32 × 5,119.30
  4. Step 4: Simplify right side
    16,212.16x = 124,497,894.88
  5. Step 5: Solve for x
    x = 124,497,894.88/16,212.16
  6. Step 6: Final answer
    x = 7,679.29

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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.