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Finding the Fourth Proportional to 20,059.68, 27,682.65 and 11,557.11

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Solution

The fourth proportional to 20,059.68, 27,682.65 and 11,557.11 is: 15,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.68 : 27,682.65 = 11,557.11 : x
  2. Step 2: Convert to fraction form
    20,059.68/27,682.65 = 11,557.11/x
  3. Step 3: Cross multiply
    20,059.68x = 27,682.65 × 11,557.11
  4. Step 4: Simplify right side
    20,059.68x = 319,931,431.14
  5. Step 5: Solve for x
    x = 319,931,431.14/20,059.68
  6. Step 6: Final answer
    x = 15,948.98

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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.