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Finding the Fourth Proportional to 16,314.21, 24,472.94 and 5,218.11

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Solution

The fourth proportional to 16,314.21, 24,472.94 and 5,218.11 is: 7,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.21 : 24,472.94 = 5,218.11 : x
  2. Step 2: Convert to fraction form
    16,314.21/24,472.94 = 5,218.11/x
  3. Step 3: Cross multiply
    16,314.21x = 24,472.94 × 5,218.11
  4. Step 4: Simplify right side
    16,314.21x = 127,702,466.85
  5. Step 5: Solve for x
    x = 127,702,466.85/16,314.21
  6. Step 6: Final answer
    x = 7,827.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.