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Finding the Fourth Proportional to 20,152.67, 27,809.39 and 11,199.63

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Solution

The fourth proportional to 20,152.67, 27,809.39 and 11,199.63 is: 15,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.67 : 27,809.39 = 11,199.63 : x
  2. Step 2: Convert to fraction form
    20,152.67/27,809.39 = 11,199.63/x
  3. Step 3: Cross multiply
    20,152.67x = 27,809.39 × 11,199.63
  4. Step 4: Simplify right side
    20,152.67x = 311,455,010.81
  5. Step 5: Solve for x
    x = 311,455,010.81/20,152.67
  6. Step 6: Final answer
    x = 15,454.78

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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.