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Finding the Fourth Proportional to 21,896.65, 32,844.95 and 7,105.57

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Solution

The fourth proportional to 21,896.65, 32,844.95 and 7,105.57 is: 10,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.65 : 32,844.95 = 7,105.57 : x
  2. Step 2: Convert to fraction form
    21,896.65/32,844.95 = 7,105.57/x
  3. Step 3: Cross multiply
    21,896.65x = 32,844.95 × 7,105.57
  4. Step 4: Simplify right side
    21,896.65x = 233,382,091.37
  5. Step 5: Solve for x
    x = 233,382,091.37/21,896.65
  6. Step 6: Final answer
    x = 10,658.35

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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.