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Finding the Fourth Proportional to 12,676.22, 17,494.49 and 7,298.85

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Solution

The fourth proportional to 12,676.22, 17,494.49 and 7,298.85 is: 10,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.22 : 17,494.49 = 7,298.85 : x
  2. Step 2: Convert to fraction form
    12,676.22/17,494.49 = 7,298.85/x
  3. Step 3: Cross multiply
    12,676.22x = 17,494.49 × 7,298.85
  4. Step 4: Simplify right side
    12,676.22x = 127,689,658.34
  5. Step 5: Solve for x
    x = 127,689,658.34/12,676.22
  6. Step 6: Final answer
    x = 10,073.17

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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.