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Finding the Fourth Proportional to 20,997.68, 28,977.16 and 11,566.16

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Solution

The fourth proportional to 20,997.68, 28,977.16 and 11,566.16 is: 15,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.68 : 28,977.16 = 11,566.16 : x
  2. Step 2: Convert to fraction form
    20,997.68/28,977.16 = 11,566.16/x
  3. Step 3: Cross multiply
    20,997.68x = 28,977.16 × 11,566.16
  4. Step 4: Simplify right side
    20,997.68x = 335,154,468.91
  5. Step 5: Solve for x
    x = 335,154,468.91/20,997.68
  6. Step 6: Final answer
    x = 15,961.50

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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.