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Finding the Fourth Proportional to 20,034.01, 27,646.09 and 10,959.23

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Solution

The fourth proportional to 20,034.01, 27,646.09 and 10,959.23 is: 15,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.01 : 27,646.09 = 10,959.23 : x
  2. Step 2: Convert to fraction form
    20,034.01/27,646.09 = 10,959.23/x
  3. Step 3: Cross multiply
    20,034.01x = 27,646.09 × 10,959.23
  4. Step 4: Simplify right side
    20,034.01x = 302,979,858.91
  5. Step 5: Solve for x
    x = 302,979,858.91/20,034.01
  6. Step 6: Final answer
    x = 15,123.28

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