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Finding the Fourth Proportional to 20,507.96, 28,297.68 and 11,553.42

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Solution

The fourth proportional to 20,507.96, 28,297.68 and 11,553.42 is: 15,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.96 : 28,297.68 = 11,553.42 : x
  2. Step 2: Convert to fraction form
    20,507.96/28,297.68 = 11,553.42/x
  3. Step 3: Cross multiply
    20,507.96x = 28,297.68 × 11,553.42
  4. Step 4: Simplify right side
    20,507.96x = 326,934,982.07
  5. Step 5: Solve for x
    x = 326,934,982.07/20,507.96
  6. Step 6: Final answer
    x = 15,941.86

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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.