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Finding the Fourth Proportional to 17,654.74, 24,363.20 and 9,696.78

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Solution

The fourth proportional to 17,654.74, 24,363.20 and 9,696.78 is: 13,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.74 : 24,363.20 = 9,696.78 : x
  2. Step 2: Convert to fraction form
    17,654.74/24,363.20 = 9,696.78/x
  3. Step 3: Cross multiply
    17,654.74x = 24,363.20 × 9,696.78
  4. Step 4: Simplify right side
    17,654.74x = 236,244,590.50
  5. Step 5: Solve for x
    x = 236,244,590.50/17,654.74
  6. Step 6: Final answer
    x = 13,381.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.