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Finding the Fourth Proportional to 20,184.32, 27,855 and 11,110.04

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Solution

The fourth proportional to 20,184.32, 27,855 and 11,110.04 is: 15,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.32 : 27,855 = 11,110.04 : x
  2. Step 2: Convert to fraction form
    20,184.32/27,855 = 11,110.04/x
  3. Step 3: Cross multiply
    20,184.32x = 27,855 × 11,110.04
  4. Step 4: Simplify right side
    20,184.32x = 309,470,164.20
  5. Step 5: Solve for x
    x = 309,470,164.20/20,184.32
  6. Step 6: Final answer
    x = 15,332.21

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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.