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Finding the Fourth Proportional to 20,698.70, 31,053.23 and 8,214.60

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Solution

The fourth proportional to 20,698.70, 31,053.23 and 8,214.60 is: 12,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.70 : 31,053.23 = 8,214.60 : x
  2. Step 2: Convert to fraction form
    20,698.70/31,053.23 = 8,214.60/x
  3. Step 3: Cross multiply
    20,698.70x = 31,053.23 × 8,214.60
  4. Step 4: Simplify right side
    20,698.70x = 255,089,767.24
  5. Step 5: Solve for x
    x = 255,089,767.24/20,698.70
  6. Step 6: Final answer
    x = 12,323.95

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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.