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Finding the Fourth Proportional to 12,605.91, 17,400.91 and 9,910.09

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Solution

The fourth proportional to 12,605.91, 17,400.91 and 9,910.09 is: 13,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.91 : 17,400.91 = 9,910.09 : x
  2. Step 2: Convert to fraction form
    12,605.91/17,400.91 = 9,910.09/x
  3. Step 3: Cross multiply
    12,605.91x = 17,400.91 × 9,910.09
  4. Step 4: Simplify right side
    12,605.91x = 172,444,599.74
  5. Step 5: Solve for x
    x = 172,444,599.74/12,605.91
  6. Step 6: Final answer
    x = 13,679.67

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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.