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Finding the Fourth Proportional to 20,267.96, 27,966.92 and 11,314.22

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Solution

The fourth proportional to 20,267.96, 27,966.92 and 11,314.22 is: 15,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.96 : 27,966.92 = 11,314.22 : x
  2. Step 2: Convert to fraction form
    20,267.96/27,966.92 = 11,314.22/x
  3. Step 3: Cross multiply
    20,267.96x = 27,966.92 × 11,314.22
  4. Step 4: Simplify right side
    20,267.96x = 316,423,885.60
  5. Step 5: Solve for x
    x = 316,423,885.60/20,267.96
  6. Step 6: Final answer
    x = 15,612.02

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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.