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Finding the Fourth Proportional to 16,015, 24,022.50 and 5,627.08

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Solution

The fourth proportional to 16,015, 24,022.50 and 5,627.08 is: 8,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015 : 24,022.50 = 5,627.08 : x
  2. Step 2: Convert to fraction form
    16,015/24,022.50 = 5,627.08/x
  3. Step 3: Cross multiply
    16,015x = 24,022.50 × 5,627.08
  4. Step 4: Simplify right side
    16,015x = 135,176,529.30
  5. Step 5: Solve for x
    x = 135,176,529.30/16,015
  6. Step 6: Final answer
    x = 8,440.62

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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.