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Finding the Fourth Proportional to 8,557.44, 12,834.24 and 2,400

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Solution

The fourth proportional to 8,557.44, 12,834.24 and 2,400 is: 3,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.44 : 12,834.24 = 2,400 : x
  2. Step 2: Convert to fraction form
    8,557.44/12,834.24 = 2,400/x
  3. Step 3: Cross multiply
    8,557.44x = 12,834.24 × 2,400
  4. Step 4: Simplify right side
    8,557.44x = 30,802,176
  5. Step 5: Solve for x
    x = 30,802,176/8,557.44
  6. Step 6: Final answer
    x = 3,599.46

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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.