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Finding the Fourth Proportional to 13,395.86, 20,093.82 and 6,465.50

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Solution

The fourth proportional to 13,395.86, 20,093.82 and 6,465.50 is: 9,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.86 : 20,093.82 = 6,465.50 : x
  2. Step 2: Convert to fraction form
    13,395.86/20,093.82 = 6,465.50/x
  3. Step 3: Cross multiply
    13,395.86x = 20,093.82 × 6,465.50
  4. Step 4: Simplify right side
    13,395.86x = 129,916,593.21
  5. Step 5: Solve for x
    x = 129,916,593.21/13,395.86
  6. Step 6: Final answer
    x = 9,698.26

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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.