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Finding the Fourth Proportional to 13,211.80, 19,820.67 and 4,446.46

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Solution

The fourth proportional to 13,211.80, 19,820.67 and 4,446.46 is: 6,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.80 : 19,820.67 = 4,446.46 : x
  2. Step 2: Convert to fraction form
    13,211.80/19,820.67 = 4,446.46/x
  3. Step 3: Cross multiply
    13,211.80x = 19,820.67 × 4,446.46
  4. Step 4: Simplify right side
    13,211.80x = 88,131,816.33
  5. Step 5: Solve for x
    x = 88,131,816.33/13,211.80
  6. Step 6: Final answer
    x = 6,670.69

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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.