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Finding the Fourth Proportional to 20,880.72, 31,321.14 and 6,090

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Solution

The fourth proportional to 20,880.72, 31,321.14 and 6,090 is: 9,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880.72 : 31,321.14 = 6,090 : x
  2. Step 2: Convert to fraction form
    20,880.72/31,321.14 = 6,090/x
  3. Step 3: Cross multiply
    20,880.72x = 31,321.14 × 6,090
  4. Step 4: Simplify right side
    20,880.72x = 190,745,742.60
  5. Step 5: Solve for x
    x = 190,745,742.60/20,880.72
  6. Step 6: Final answer
    x = 9,135.02

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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.