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Finding the Fourth Proportional to 11,865.96, 17,730.14 and 8,997.75

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Solution

The fourth proportional to 11,865.96, 17,730.14 and 8,997.75 is: 13,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.96 : 17,730.14 = 8,997.75 : x
  2. Step 2: Convert to fraction form
    11,865.96/17,730.14 = 8,997.75/x
  3. Step 3: Cross multiply
    11,865.96x = 17,730.14 × 8,997.75
  4. Step 4: Simplify right side
    11,865.96x = 159,531,322.20
  5. Step 5: Solve for x
    x = 159,531,322.20/11,865.96
  6. Step 6: Final answer
    x = 13,444.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.