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Finding the Fourth Proportional to 12,010.22, 16,580.17 and 8,234.91

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Solution

The fourth proportional to 12,010.22, 16,580.17 and 8,234.91 is: 11,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.22 : 16,580.17 = 8,234.91 : x
  2. Step 2: Convert to fraction form
    12,010.22/16,580.17 = 8,234.91/x
  3. Step 3: Cross multiply
    12,010.22x = 16,580.17 × 8,234.91
  4. Step 4: Simplify right side
    12,010.22x = 136,536,187.15
  5. Step 5: Solve for x
    x = 136,536,187.15/12,010.22
  6. Step 6: Final answer
    x = 11,368.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.