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Finding the Fourth Proportional to 20,265.75, 27,966.20 and 11,313

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Solution

The fourth proportional to 20,265.75, 27,966.20 and 11,313 is: 15,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.75 : 27,966.20 = 11,313 : x
  2. Step 2: Convert to fraction form
    20,265.75/27,966.20 = 11,313/x
  3. Step 3: Cross multiply
    20,265.75x = 27,966.20 × 11,313
  4. Step 4: Simplify right side
    20,265.75x = 316,381,564.04
  5. Step 5: Solve for x
    x = 316,381,564.04/20,265.75
  6. Step 6: Final answer
    x = 15,611.64

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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.