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Finding the Fourth Proportional to 20,890.80, 31,364.01 and 12,132

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Solution

The fourth proportional to 20,890.80, 31,364.01 and 12,132 is: 18,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,890.80 : 31,364.01 = 12,132 : x
  2. Step 2: Convert to fraction form
    20,890.80/31,364.01 = 12,132/x
  3. Step 3: Cross multiply
    20,890.80x = 31,364.01 × 12,132
  4. Step 4: Simplify right side
    20,890.80x = 380,508,169.32
  5. Step 5: Solve for x
    x = 380,508,169.32/20,890.80
  6. Step 6: Final answer
    x = 18,214.15

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