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Finding the Fourth Proportional to 13,874.53, 20,768.02 and 9,913.02

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Solution

The fourth proportional to 13,874.53, 20,768.02 and 9,913.02 is: 14,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.53 : 20,768.02 = 9,913.02 : x
  2. Step 2: Convert to fraction form
    13,874.53/20,768.02 = 9,913.02/x
  3. Step 3: Cross multiply
    13,874.53x = 20,768.02 × 9,913.02
  4. Step 4: Simplify right side
    13,874.53x = 205,873,797.62
  5. Step 5: Solve for x
    x = 205,873,797.62/13,874.53
  6. Step 6: Final answer
    x = 14,838.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.