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Finding the Fourth Proportional to 20,152.44, 27,810 and 11,199.78

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Solution

The fourth proportional to 20,152.44, 27,810 and 11,199.78 is: 15,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.44 : 27,810 = 11,199.78 : x
  2. Step 2: Convert to fraction form
    20,152.44/27,810 = 11,199.78/x
  3. Step 3: Cross multiply
    20,152.44x = 27,810 × 11,199.78
  4. Step 4: Simplify right side
    20,152.44x = 311,465,881.80
  5. Step 5: Solve for x
    x = 311,465,881.80/20,152.44
  6. Step 6: Final answer
    x = 15,455.49

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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.