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Finding the Fourth Proportional to 20,089.32, 27,724.32 and 12,131.43

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Solution

The fourth proportional to 20,089.32, 27,724.32 and 12,131.43 is: 16,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.32 : 27,724.32 = 12,131.43 : x
  2. Step 2: Convert to fraction form
    20,089.32/27,724.32 = 12,131.43/x
  3. Step 3: Cross multiply
    20,089.32x = 27,724.32 × 12,131.43
  4. Step 4: Simplify right side
    20,089.32x = 336,335,647.38
  5. Step 5: Solve for x
    x = 336,335,647.38/20,089.32
  6. Step 6: Final answer
    x = 16,742.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.