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Finding the Fourth Proportional to 21,194.68, 31,784.64 and 6,197.78

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Solution

The fourth proportional to 21,194.68, 31,784.64 and 6,197.78 is: 9,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.68 : 31,784.64 = 6,197.78 : x
  2. Step 2: Convert to fraction form
    21,194.68/31,784.64 = 6,197.78/x
  3. Step 3: Cross multiply
    21,194.68x = 31,784.64 × 6,197.78
  4. Step 4: Simplify right side
    21,194.68x = 196,994,206.10
  5. Step 5: Solve for x
    x = 196,994,206.10/21,194.68
  6. Step 6: Final answer
    x = 9,294.51

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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.