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Finding the Fourth Proportional to 20,643.31, 30,888.42 and 12,327.85

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Solution

The fourth proportional to 20,643.31, 30,888.42 and 12,327.85 is: 18,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.31 : 30,888.42 = 12,327.85 : x
  2. Step 2: Convert to fraction form
    20,643.31/30,888.42 = 12,327.85/x
  3. Step 3: Cross multiply
    20,643.31x = 30,888.42 × 12,327.85
  4. Step 4: Simplify right side
    20,643.31x = 380,787,808.50
  5. Step 5: Solve for x
    x = 380,787,808.50/20,643.31
  6. Step 6: Final answer
    x = 18,446.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.