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Finding the Fourth Proportional to 17,535, 24,198.30 and 10,083

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Solution

The fourth proportional to 17,535, 24,198.30 and 10,083 is: 13,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535 : 24,198.30 = 10,083 : x
  2. Step 2: Convert to fraction form
    17,535/24,198.30 = 10,083/x
  3. Step 3: Cross multiply
    17,535x = 24,198.30 × 10,083
  4. Step 4: Simplify right side
    17,535x = 243,991,458.90
  5. Step 5: Solve for x
    x = 243,991,458.90/17,535
  6. Step 6: Final answer
    x = 13,914.54

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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.