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Finding the Fourth Proportional to 17,956.64, 24,777.16 and 9,998.64

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Solution

The fourth proportional to 17,956.64, 24,777.16 and 9,998.64 is: 13,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.64 : 24,777.16 = 9,998.64 : x
  2. Step 2: Convert to fraction form
    17,956.64/24,777.16 = 9,998.64/x
  3. Step 3: Cross multiply
    17,956.64x = 24,777.16 × 9,998.64
  4. Step 4: Simplify right side
    17,956.64x = 247,737,903.06
  5. Step 5: Solve for x
    x = 247,737,903.06/17,956.64
  6. Step 6: Final answer
    x = 13,796.45

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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.