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Finding the Fourth Proportional to 13,535.95, 20,308.02 and 6,138.42

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Solution

The fourth proportional to 13,535.95, 20,308.02 and 6,138.42 is: 9,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.95 : 20,308.02 = 6,138.42 : x
  2. Step 2: Convert to fraction form
    13,535.95/20,308.02 = 6,138.42/x
  3. Step 3: Cross multiply
    13,535.95x = 20,308.02 × 6,138.42
  4. Step 4: Simplify right side
    13,535.95x = 124,659,156.13
  5. Step 5: Solve for x
    x = 124,659,156.13/13,535.95
  6. Step 6: Final answer
    x = 9,209.49

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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.