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Finding the Fourth Proportional to 20,698.25, 31,038.84 and 8,216.55

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Solution

The fourth proportional to 20,698.25, 31,038.84 and 8,216.55 is: 12,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.25 : 31,038.84 = 8,216.55 : x
  2. Step 2: Convert to fraction form
    20,698.25/31,038.84 = 8,216.55/x
  3. Step 3: Cross multiply
    20,698.25x = 31,038.84 × 8,216.55
  4. Step 4: Simplify right side
    20,698.25x = 255,032,180.80
  5. Step 5: Solve for x
    x = 255,032,180.80/20,698.25
  6. Step 6: Final answer
    x = 12,321.44

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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.