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Finding the Fourth Proportional to 15,188.36, 22,774.73 and 6,863.86

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Solution

The fourth proportional to 15,188.36, 22,774.73 and 6,863.86 is: 10,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.36 : 22,774.73 = 6,863.86 : x
  2. Step 2: Convert to fraction form
    15,188.36/22,774.73 = 6,863.86/x
  3. Step 3: Cross multiply
    15,188.36x = 22,774.73 × 6,863.86
  4. Step 4: Simplify right side
    15,188.36x = 156,322,467.00
  5. Step 5: Solve for x
    x = 156,322,467.00/15,188.36
  6. Step 6: Final answer
    x = 10,292.26

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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.