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Finding the Fourth Proportional to 10,821.40, 16,232.10 and 9,568.60

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Solution

The fourth proportional to 10,821.40, 16,232.10 and 9,568.60 is: 14,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.40 : 16,232.10 = 9,568.60 : x
  2. Step 2: Convert to fraction form
    10,821.40/16,232.10 = 9,568.60/x
  3. Step 3: Cross multiply
    10,821.40x = 16,232.10 × 9,568.60
  4. Step 4: Simplify right side
    10,821.40x = 155,318,472.06
  5. Step 5: Solve for x
    x = 155,318,472.06/10,821.40
  6. Step 6: Final answer
    x = 14,352.90

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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.