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Finding the Fourth Proportional to 17,586.50, 24,269.38 and 9,629.23

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Solution

The fourth proportional to 17,586.50, 24,269.38 and 9,629.23 is: 13,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.50 : 24,269.38 = 9,629.23 : x
  2. Step 2: Convert to fraction form
    17,586.50/24,269.38 = 9,629.23/x
  3. Step 3: Cross multiply
    17,586.50x = 24,269.38 × 9,629.23
  4. Step 4: Simplify right side
    17,586.50x = 233,695,441.98
  5. Step 5: Solve for x
    x = 233,695,441.98/17,586.50
  6. Step 6: Final answer
    x = 13,288.34

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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.