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Finding the Fourth Proportional to 13,249.00, 18,265.35 and 10,569.31

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Solution

The fourth proportional to 13,249.00, 18,265.35 and 10,569.31 is: 14,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.00 : 18,265.35 = 10,569.31 : x
  2. Step 2: Convert to fraction form
    13,249.00/18,265.35 = 10,569.31/x
  3. Step 3: Cross multiply
    13,249.00x = 18,265.35 × 10,569.31
  4. Step 4: Simplify right side
    13,249.00x = 193,052,113.38
  5. Step 5: Solve for x
    x = 193,052,113.38/13,249.00
  6. Step 6: Final answer
    x = 14,571.07

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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.