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Finding the Fourth Proportional to 12,265.64, 18,395.70 and 3,500.36

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Solution

The fourth proportional to 12,265.64, 18,395.70 and 3,500.36 is: 5,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.64 : 18,395.70 = 3,500.36 : x
  2. Step 2: Convert to fraction form
    12,265.64/18,395.70 = 3,500.36/x
  3. Step 3: Cross multiply
    12,265.64x = 18,395.70 × 3,500.36
  4. Step 4: Simplify right side
    12,265.64x = 64,391,572.45
  5. Step 5: Solve for x
    x = 64,391,572.45/12,265.64
  6. Step 6: Final answer
    x = 5,249.75

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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.