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Finding the Fourth Proportional to 17,654.12, 24,362.76 and 9,696.14

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Solution

The fourth proportional to 17,654.12, 24,362.76 and 9,696.14 is: 13,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.12 : 24,362.76 = 9,696.14 : x
  2. Step 2: Convert to fraction form
    17,654.12/24,362.76 = 9,696.14/x
  3. Step 3: Cross multiply
    17,654.12x = 24,362.76 × 9,696.14
  4. Step 4: Simplify right side
    17,654.12x = 236,224,731.75
  5. Step 5: Solve for x
    x = 236,224,731.75/17,654.12
  6. Step 6: Final answer
    x = 13,380.71

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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.