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Finding the Fourth Proportional to 21,452.40, 32,182.90 and 7,412.94

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Solution

The fourth proportional to 21,452.40, 32,182.90 and 7,412.94 is: 11,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.40 : 32,182.90 = 7,412.94 : x
  2. Step 2: Convert to fraction form
    21,452.40/32,182.90 = 7,412.94/x
  3. Step 3: Cross multiply
    21,452.40x = 32,182.90 × 7,412.94
  4. Step 4: Simplify right side
    21,452.40x = 238,569,906.73
  5. Step 5: Solve for x
    x = 238,569,906.73/21,452.40
  6. Step 6: Final answer
    x = 11,120.90

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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.