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Finding the Fourth Proportional to 21,209.90, 31,814.85 and 20,140.70

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Solution

The fourth proportional to 21,209.90, 31,814.85 and 20,140.70 is: 30,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.90 : 31,814.85 = 20,140.70 : x
  2. Step 2: Convert to fraction form
    21,209.90/31,814.85 = 20,140.70/x
  3. Step 3: Cross multiply
    21,209.90x = 31,814.85 × 20,140.70
  4. Step 4: Simplify right side
    21,209.90x = 640,773,349.40
  5. Step 5: Solve for x
    x = 640,773,349.40/21,209.90
  6. Step 6: Final answer
    x = 30,211.05

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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.