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Finding the Fourth Proportional to 21,751.72, 32,631.66 and 6,956.65

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Solution

The fourth proportional to 21,751.72, 32,631.66 and 6,956.65 is: 10,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.72 : 32,631.66 = 6,956.65 : x
  2. Step 2: Convert to fraction form
    21,751.72/32,631.66 = 6,956.65/x
  3. Step 3: Cross multiply
    21,751.72x = 32,631.66 × 6,956.65
  4. Step 4: Simplify right side
    21,751.72x = 227,007,037.54
  5. Step 5: Solve for x
    x = 227,007,037.54/21,751.72
  6. Step 6: Final answer
    x = 10,436.28

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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.