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Finding the Fourth Proportional to 20,285.64, 27,998.87 and 13,199.76

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Solution

The fourth proportional to 20,285.64, 27,998.87 and 13,199.76 is: 18,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.64 : 27,998.87 = 13,199.76 : x
  2. Step 2: Convert to fraction form
    20,285.64/27,998.87 = 13,199.76/x
  3. Step 3: Cross multiply
    20,285.64x = 27,998.87 × 13,199.76
  4. Step 4: Simplify right side
    20,285.64x = 369,578,298.27
  5. Step 5: Solve for x
    x = 369,578,298.27/20,285.64
  6. Step 6: Final answer
    x = 18,218.72

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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.