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Finding the Fourth Proportional to 20,152.16, 27,809.41 and 11,199.23

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Solution

The fourth proportional to 20,152.16, 27,809.41 and 11,199.23 is: 15,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.16 : 27,809.41 = 11,199.23 : x
  2. Step 2: Convert to fraction form
    20,152.16/27,809.41 = 11,199.23/x
  3. Step 3: Cross multiply
    20,152.16x = 27,809.41 × 11,199.23
  4. Step 4: Simplify right side
    20,152.16x = 311,443,978.75
  5. Step 5: Solve for x
    x = 311,443,978.75/20,152.16
  6. Step 6: Final answer
    x = 15,454.62

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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.