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Finding the Fourth Proportional to 12,009.32, 17,997.61 and 7,618.92

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Solution

The fourth proportional to 12,009.32, 17,997.61 and 7,618.92 is: 11,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.32 : 17,997.61 = 7,618.92 : x
  2. Step 2: Convert to fraction form
    12,009.32/17,997.61 = 7,618.92/x
  3. Step 3: Cross multiply
    12,009.32x = 17,997.61 × 7,618.92
  4. Step 4: Simplify right side
    12,009.32x = 137,122,350.78
  5. Step 5: Solve for x
    x = 137,122,350.78/12,009.32
  6. Step 6: Final answer
    x = 11,417.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.