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Finding the Fourth Proportional to 13,532.40, 20,297.88 and 4,297.68

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Solution

The fourth proportional to 13,532.40, 20,297.88 and 4,297.68 is: 6,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.40 : 20,297.88 = 4,297.68 : x
  2. Step 2: Convert to fraction form
    13,532.40/20,297.88 = 4,297.68/x
  3. Step 3: Cross multiply
    13,532.40x = 20,297.88 × 4,297.68
  4. Step 4: Simplify right side
    13,532.40x = 87,233,792.92
  5. Step 5: Solve for x
    x = 87,233,792.92/13,532.40
  6. Step 6: Final answer
    x = 6,446.29

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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.