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Finding the Fourth Proportional to 12,009.87, 18,026.42 and 5,774.18

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Solution

The fourth proportional to 12,009.87, 18,026.42 and 5,774.18 is: 8,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.87 : 18,026.42 = 5,774.18 : x
  2. Step 2: Convert to fraction form
    12,009.87/18,026.42 = 5,774.18/x
  3. Step 3: Cross multiply
    12,009.87x = 18,026.42 × 5,774.18
  4. Step 4: Simplify right side
    12,009.87x = 104,087,764.96
  5. Step 5: Solve for x
    x = 104,087,764.96/12,009.87
  6. Step 6: Final answer
    x = 8,666.86

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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.