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Finding the Fourth Proportional to 20,193.57, 27,868.64 and 11,697.98

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Solution

The fourth proportional to 20,193.57, 27,868.64 and 11,697.98 is: 16,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.57 : 27,868.64 = 11,697.98 : x
  2. Step 2: Convert to fraction form
    20,193.57/27,868.64 = 11,697.98/x
  3. Step 3: Cross multiply
    20,193.57x = 27,868.64 × 11,697.98
  4. Step 4: Simplify right side
    20,193.57x = 326,006,595.51
  5. Step 5: Solve for x
    x = 326,006,595.51/20,193.57
  6. Step 6: Final answer
    x = 16,144.08

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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.