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Finding the Fourth Proportional to 21,414.85, 32,103.80 and 10,306.25

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Solution

The fourth proportional to 21,414.85, 32,103.80 and 10,306.25 is: 15,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.85 : 32,103.80 = 10,306.25 : x
  2. Step 2: Convert to fraction form
    21,414.85/32,103.80 = 10,306.25/x
  3. Step 3: Cross multiply
    21,414.85x = 32,103.80 × 10,306.25
  4. Step 4: Simplify right side
    21,414.85x = 330,869,817.48
  5. Step 5: Solve for x
    x = 330,869,817.48/21,414.85
  6. Step 6: Final answer
    x = 15,450.49

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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.