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Finding the Fourth Proportional to 20,683.60, 31,025.40 and 6,830.80

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Solution

The fourth proportional to 20,683.60, 31,025.40 and 6,830.80 is: 10,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.60 : 31,025.40 = 6,830.80 : x
  2. Step 2: Convert to fraction form
    20,683.60/31,025.40 = 6,830.80/x
  3. Step 3: Cross multiply
    20,683.60x = 31,025.40 × 6,830.80
  4. Step 4: Simplify right side
    20,683.60x = 211,928,302.32
  5. Step 5: Solve for x
    x = 211,928,302.32/20,683.60
  6. Step 6: Final answer
    x = 10,246.20

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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.