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Finding the Fourth Proportional to 20,980.85, 31,471.70 and 7,830.60

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Solution

The fourth proportional to 20,980.85, 31,471.70 and 7,830.60 is: 11,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.85 : 31,471.70 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    20,980.85/31,471.70 = 7,830.60/x
  3. Step 3: Cross multiply
    20,980.85x = 31,471.70 × 7,830.60
  4. Step 4: Simplify right side
    20,980.85x = 246,442,294.02
  5. Step 5: Solve for x
    x = 246,442,294.02/20,980.85
  6. Step 6: Final answer
    x = 11,746.06

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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.