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Finding the Fourth Proportional to 20,265.50, 27,965.84 and 11,312.76

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Solution

The fourth proportional to 20,265.50, 27,965.84 and 11,312.76 is: 15,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.50 : 27,965.84 = 11,312.76 : x
  2. Step 2: Convert to fraction form
    20,265.50/27,965.84 = 11,312.76/x
  3. Step 3: Cross multiply
    20,265.50x = 27,965.84 × 11,312.76
  4. Step 4: Simplify right side
    20,265.50x = 316,370,836.12
  5. Step 5: Solve for x
    x = 316,370,836.12/20,265.50
  6. Step 6: Final answer
    x = 15,611.30

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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.