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Finding the Fourth Proportional to 19,941.20, 29,911.80 and 6,808.40

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Solution

The fourth proportional to 19,941.20, 29,911.80 and 6,808.40 is: 10,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.20 : 29,911.80 = 6,808.40 : x
  2. Step 2: Convert to fraction form
    19,941.20/29,911.80 = 6,808.40/x
  3. Step 3: Cross multiply
    19,941.20x = 29,911.80 × 6,808.40
  4. Step 4: Simplify right side
    19,941.20x = 203,651,499.12
  5. Step 5: Solve for x
    x = 203,651,499.12/19,941.20
  6. Step 6: Final answer
    x = 10,212.60

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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.