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Finding the Fourth Proportional to 21,191.67, 31,780.15 and 6,194.77

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Solution

The fourth proportional to 21,191.67, 31,780.15 and 6,194.77 is: 9,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.67 : 31,780.15 = 6,194.77 : x
  2. Step 2: Convert to fraction form
    21,191.67/31,780.15 = 6,194.77/x
  3. Step 3: Cross multiply
    21,191.67x = 31,780.15 × 6,194.77
  4. Step 4: Simplify right side
    21,191.67x = 196,870,624.88
  5. Step 5: Solve for x
    x = 196,870,624.88/21,191.67
  6. Step 6: Final answer
    x = 9,290.00

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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.