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Finding the Fourth Proportional to 12,490.22, 17,235.72 and 6,823.82

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Solution

The fourth proportional to 12,490.22, 17,235.72 and 6,823.82 is: 9,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.22 : 17,235.72 = 6,823.82 : x
  2. Step 2: Convert to fraction form
    12,490.22/17,235.72 = 6,823.82/x
  3. Step 3: Cross multiply
    12,490.22x = 17,235.72 × 6,823.82
  4. Step 4: Simplify right side
    12,490.22x = 117,613,450.85
  5. Step 5: Solve for x
    x = 117,613,450.85/12,490.22
  6. Step 6: Final answer
    x = 9,416.44

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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.