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Finding the Fourth Proportional to 20,206.60, 30,309.90 and 5,417.80

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Solution

The fourth proportional to 20,206.60, 30,309.90 and 5,417.80 is: 8,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.60 : 30,309.90 = 5,417.80 : x
  2. Step 2: Convert to fraction form
    20,206.60/30,309.90 = 5,417.80/x
  3. Step 3: Cross multiply
    20,206.60x = 30,309.90 × 5,417.80
  4. Step 4: Simplify right side
    20,206.60x = 164,212,976.22
  5. Step 5: Solve for x
    x = 164,212,976.22/20,206.60
  6. Step 6: Final answer
    x = 8,126.70

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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.