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Finding the Fourth Proportional to 14,408.28, 19,880.04 and 8,742.89

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Solution

The fourth proportional to 14,408.28, 19,880.04 and 8,742.89 is: 12,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.28 : 19,880.04 = 8,742.89 : x
  2. Step 2: Convert to fraction form
    14,408.28/19,880.04 = 8,742.89/x
  3. Step 3: Cross multiply
    14,408.28x = 19,880.04 × 8,742.89
  4. Step 4: Simplify right side
    14,408.28x = 173,809,052.62
  5. Step 5: Solve for x
    x = 173,809,052.62/14,408.28
  6. Step 6: Final answer
    x = 12,063.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.