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Finding the Fourth Proportional to 27,215.46, 40,830.21 and 8,496.09

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Solution

The fourth proportional to 27,215.46, 40,830.21 and 8,496.09 is: 12,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.46 : 40,830.21 = 8,496.09 : x
  2. Step 2: Convert to fraction form
    27,215.46/40,830.21 = 8,496.09/x
  3. Step 3: Cross multiply
    27,215.46x = 40,830.21 × 8,496.09
  4. Step 4: Simplify right side
    27,215.46x = 346,897,138.88
  5. Step 5: Solve for x
    x = 346,897,138.88/27,215.46
  6. Step 6: Final answer
    x = 12,746.33

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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.