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Finding the Fourth Proportional to 17,654.02, 24,362.56 and 9,696.64

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Solution

The fourth proportional to 17,654.02, 24,362.56 and 9,696.64 is: 13,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.02 : 24,362.56 = 9,696.64 : x
  2. Step 2: Convert to fraction form
    17,654.02/24,362.56 = 9,696.64/x
  3. Step 3: Cross multiply
    17,654.02x = 24,362.56 × 9,696.64
  4. Step 4: Simplify right side
    17,654.02x = 236,234,973.80
  5. Step 5: Solve for x
    x = 236,234,973.80/17,654.02
  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.