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Finding the Fourth Proportional to 14,528.16, 20,049.48 and 8,241.12

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Solution

The fourth proportional to 14,528.16, 20,049.48 and 8,241.12 is: 11,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528.16 : 20,049.48 = 8,241.12 : x
  2. Step 2: Convert to fraction form
    14,528.16/20,049.48 = 8,241.12/x
  3. Step 3: Cross multiply
    14,528.16x = 20,049.48 × 8,241.12
  4. Step 4: Simplify right side
    14,528.16x = 165,230,170.62
  5. Step 5: Solve for x
    x = 165,230,170.62/14,528.16
  6. Step 6: Final answer
    x = 11,373.10

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Why These Related Problems?

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