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Finding the Fourth Proportional to 20,199.96, 27,868.08 and 12,643.20

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Solution

The fourth proportional to 20,199.96, 27,868.08 and 12,643.20 is: 17,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.96 : 27,868.08 = 12,643.20 : x
  2. Step 2: Convert to fraction form
    20,199.96/27,868.08 = 12,643.20/x
  3. Step 3: Cross multiply
    20,199.96x = 27,868.08 × 12,643.20
  4. Step 4: Simplify right side
    20,199.96x = 352,341,709.06
  5. Step 5: Solve for x
    x = 352,341,709.06/20,199.96
  6. Step 6: Final answer
    x = 17,442.69

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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.