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Finding the Fourth Proportional to 17,654.72, 24,362.16 and 9,697.46

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Solution

The fourth proportional to 17,654.72, 24,362.16 and 9,697.46 is: 13,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.72 : 24,362.16 = 9,697.46 : x
  2. Step 2: Convert to fraction form
    17,654.72/24,362.16 = 9,697.46/x
  3. Step 3: Cross multiply
    17,654.72x = 24,362.16 × 9,697.46
  4. Step 4: Simplify right side
    17,654.72x = 236,251,072.11
  5. Step 5: Solve for x
    x = 236,251,072.11/17,654.72
  6. Step 6: Final answer
    x = 13,381.75

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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.