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Finding the Fourth Proportional to 17,193.08, 23,728.42 and 9,641.45

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Solution

The fourth proportional to 17,193.08, 23,728.42 and 9,641.45 is: 13,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.08 : 23,728.42 = 9,641.45 : x
  2. Step 2: Convert to fraction form
    17,193.08/23,728.42 = 9,641.45/x
  3. Step 3: Cross multiply
    17,193.08x = 23,728.42 × 9,641.45
  4. Step 4: Simplify right side
    17,193.08x = 228,776,446.38
  5. Step 5: Solve for x
    x = 228,776,446.38/17,193.08
  6. Step 6: Final answer
    x = 13,306.31

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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.