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Finding the Fourth Proportional to 12,774.31, 19,162.27 and 4,009.57

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Solution

The fourth proportional to 12,774.31, 19,162.27 and 4,009.57 is: 6,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.31 : 19,162.27 = 4,009.57 : x
  2. Step 2: Convert to fraction form
    12,774.31/19,162.27 = 4,009.57/x
  3. Step 3: Cross multiply
    12,774.31x = 19,162.27 × 4,009.57
  4. Step 4: Simplify right side
    12,774.31x = 76,832,420.03
  5. Step 5: Solve for x
    x = 76,832,420.03/12,774.31
  6. Step 6: Final answer
    x = 6,014.61

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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.