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Finding the Fourth Proportional to 20,159.64, 27,817.88 and 11,205.99

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Solution

The fourth proportional to 20,159.64, 27,817.88 and 11,205.99 is: 15,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.64 : 27,817.88 = 11,205.99 : x
  2. Step 2: Convert to fraction form
    20,159.64/27,817.88 = 11,205.99/x
  3. Step 3: Cross multiply
    20,159.64x = 27,817.88 × 11,205.99
  4. Step 4: Simplify right side
    20,159.64x = 311,726,829.07
  5. Step 5: Solve for x
    x = 311,726,829.07/20,159.64
  6. Step 6: Final answer
    x = 15,462.92

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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.