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Finding the Fourth Proportional to 21,896.91, 32,849.92 and 7,106.11

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Solution

The fourth proportional to 21,896.91, 32,849.92 and 7,106.11 is: 10,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.91 : 32,849.92 = 7,106.11 : x
  2. Step 2: Convert to fraction form
    21,896.91/32,849.92 = 7,106.11/x
  3. Step 3: Cross multiply
    21,896.91x = 32,849.92 × 7,106.11
  4. Step 4: Simplify right side
    21,896.91x = 233,435,145.01
  5. Step 5: Solve for x
    x = 233,435,145.01/21,896.91
  6. Step 6: Final answer
    x = 10,660.64

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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.