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Finding the Fourth Proportional to 20,913.36, 31,348.14 and 7,759.80

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Solution

The fourth proportional to 20,913.36, 31,348.14 and 7,759.80 is: 11,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,913.36 : 31,348.14 = 7,759.80 : x
  2. Step 2: Convert to fraction form
    20,913.36/31,348.14 = 7,759.80/x
  3. Step 3: Cross multiply
    20,913.36x = 31,348.14 × 7,759.80
  4. Step 4: Simplify right side
    20,913.36x = 243,255,296.77
  5. Step 5: Solve for x
    x = 243,255,296.77/20,913.36
  6. Step 6: Final answer
    x = 11,631.57

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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.