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Finding the Fourth Proportional to 20,168.16, 27,830.96 and 11,215.02

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Solution

The fourth proportional to 20,168.16, 27,830.96 and 11,215.02 is: 15,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.16 : 27,830.96 = 11,215.02 : x
  2. Step 2: Convert to fraction form
    20,168.16/27,830.96 = 11,215.02/x
  3. Step 3: Cross multiply
    20,168.16x = 27,830.96 × 11,215.02
  4. Step 4: Simplify right side
    20,168.16x = 312,124,863.37
  5. Step 5: Solve for x
    x = 312,124,863.37/20,168.16
  6. Step 6: Final answer
    x = 15,476.12

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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.