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Finding the Fourth Proportional to 21,751.68, 32,632.37 and 6,961.48

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Solution

The fourth proportional to 21,751.68, 32,632.37 and 6,961.48 is: 10,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.68 : 32,632.37 = 6,961.48 : x
  2. Step 2: Convert to fraction form
    21,751.68/32,632.37 = 6,961.48/x
  3. Step 3: Cross multiply
    21,751.68x = 32,632.37 × 6,961.48
  4. Step 4: Simplify right side
    21,751.68x = 227,169,591.11
  5. Step 5: Solve for x
    x = 227,169,591.11/21,751.68
  6. Step 6: Final answer
    x = 10,443.77

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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.