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Finding the Fourth Proportional to 15,767.65, 23,631.04 and 6,396.76

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Solution

The fourth proportional to 15,767.65, 23,631.04 and 6,396.76 is: 9,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.65 : 23,631.04 = 6,396.76 : x
  2. Step 2: Convert to fraction form
    15,767.65/23,631.04 = 6,396.76/x
  3. Step 3: Cross multiply
    15,767.65x = 23,631.04 × 6,396.76
  4. Step 4: Simplify right side
    15,767.65x = 151,162,091.43
  5. Step 5: Solve for x
    x = 151,162,091.43/15,767.65
  6. Step 6: Final answer
    x = 9,586.85

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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.