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Finding the Fourth Proportional to 20,154, 27,808.08 and 11,656.08

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Solution

The fourth proportional to 20,154, 27,808.08 and 11,656.08 is: 16,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154 : 27,808.08 = 11,656.08 : x
  2. Step 2: Convert to fraction form
    20,154/27,808.08 = 11,656.08/x
  3. Step 3: Cross multiply
    20,154x = 27,808.08 × 11,656.08
  4. Step 4: Simplify right side
    20,154x = 324,133,205.13
  5. Step 5: Solve for x
    x = 324,133,205.13/20,154
  6. Step 6: Final answer
    x = 16,082.82

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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.