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Finding the Fourth Proportional to 12,211.65, 18,320.75 and 5,191.98

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Solution

The fourth proportional to 12,211.65, 18,320.75 and 5,191.98 is: 7,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.65 : 18,320.75 = 5,191.98 : x
  2. Step 2: Convert to fraction form
    12,211.65/18,320.75 = 5,191.98/x
  3. Step 3: Cross multiply
    12,211.65x = 18,320.75 × 5,191.98
  4. Step 4: Simplify right side
    12,211.65x = 95,120,941.63
  5. Step 5: Solve for x
    x = 95,120,941.63/12,211.65
  6. Step 6: Final answer
    x = 7,789.36

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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.