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Finding the Fourth Proportional to 21,774.36, 32,674.14 and 10,086.96

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Solution

The fourth proportional to 21,774.36, 32,674.14 and 10,086.96 is: 15,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.36 : 32,674.14 = 10,086.96 : x
  2. Step 2: Convert to fraction form
    21,774.36/32,674.14 = 10,086.96/x
  3. Step 3: Cross multiply
    21,774.36x = 32,674.14 × 10,086.96
  4. Step 4: Simplify right side
    21,774.36x = 329,582,743.21
  5. Step 5: Solve for x
    x = 329,582,743.21/21,774.36
  6. Step 6: Final answer
    x = 15,136.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.