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Finding the Fourth Proportional to 21,441.20, 32,166.53 and 7,209.19

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Solution

The fourth proportional to 21,441.20, 32,166.53 and 7,209.19 is: 10,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.20 : 32,166.53 = 7,209.19 : x
  2. Step 2: Convert to fraction form
    21,441.20/32,166.53 = 7,209.19/x
  3. Step 3: Cross multiply
    21,441.20x = 32,166.53 × 7,209.19
  4. Step 4: Simplify right side
    21,441.20x = 231,894,590.36
  5. Step 5: Solve for x
    x = 231,894,590.36/21,441.20
  6. Step 6: Final answer
    x = 10,815.37

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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.