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Finding the Fourth Proportional to 21,452.90, 32,166.32 and 9,604.42

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Solution

The fourth proportional to 21,452.90, 32,166.32 and 9,604.42 is: 14,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.90 : 32,166.32 = 9,604.42 : x
  2. Step 2: Convert to fraction form
    21,452.90/32,166.32 = 9,604.42/x
  3. Step 3: Cross multiply
    21,452.90x = 32,166.32 × 9,604.42
  4. Step 4: Simplify right side
    21,452.90x = 308,938,718.70
  5. Step 5: Solve for x
    x = 308,938,718.70/21,452.90
  6. Step 6: Final answer
    x = 14,400.79

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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.