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Finding the Fourth Proportional to 20,309.17, 27,964.34 and 17,777.11

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Solution

The fourth proportional to 20,309.17, 27,964.34 and 17,777.11 is: 24,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.17 : 27,964.34 = 17,777.11 : x
  2. Step 2: Convert to fraction form
    20,309.17/27,964.34 = 17,777.11/x
  3. Step 3: Cross multiply
    20,309.17x = 27,964.34 × 17,777.11
  4. Step 4: Simplify right side
    20,309.17x = 497,125,008.44
  5. Step 5: Solve for x
    x = 497,125,008.44/20,309.17
  6. Step 6: Final answer
    x = 24,477.87

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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.