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Finding the Fourth Proportional to 15,722.11, 21,696.87 and 9,008.38

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Solution

The fourth proportional to 15,722.11, 21,696.87 and 9,008.38 is: 12,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.11 : 21,696.87 = 9,008.38 : x
  2. Step 2: Convert to fraction form
    15,722.11/21,696.87 = 9,008.38/x
  3. Step 3: Cross multiply
    15,722.11x = 21,696.87 × 9,008.38
  4. Step 4: Simplify right side
    15,722.11x = 195,453,649.77
  5. Step 5: Solve for x
    x = 195,453,649.77/15,722.11
  6. Step 6: Final answer
    x = 12,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.