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Finding the Fourth Proportional to 13,354.88, 20,035.08 and 9,196.88

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Solution

The fourth proportional to 13,354.88, 20,035.08 and 9,196.88 is: 13,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.88 : 20,035.08 = 9,196.88 : x
  2. Step 2: Convert to fraction form
    13,354.88/20,035.08 = 9,196.88/x
  3. Step 3: Cross multiply
    13,354.88x = 20,035.08 × 9,196.88
  4. Step 4: Simplify right side
    13,354.88x = 184,260,126.38
  5. Step 5: Solve for x
    x = 184,260,126.38/13,354.88
  6. Step 6: Final answer
    x = 13,797.22

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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.