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Finding the Fourth Proportional to 16,244.96, 24,347.82 and 7,912.50

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Solution

The fourth proportional to 16,244.96, 24,347.82 and 7,912.50 is: 11,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.96 : 24,347.82 = 7,912.50 : x
  2. Step 2: Convert to fraction form
    16,244.96/24,347.82 = 7,912.50/x
  3. Step 3: Cross multiply
    16,244.96x = 24,347.82 × 7,912.50
  4. Step 4: Simplify right side
    16,244.96x = 192,652,125.75
  5. Step 5: Solve for x
    x = 192,652,125.75/16,244.96
  6. Step 6: Final answer
    x = 11,859.19

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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.