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Finding the Fourth Proportional to 12,774.13, 17,630.37 and 7,467.91

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Solution

The fourth proportional to 12,774.13, 17,630.37 and 7,467.91 is: 10,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.13 : 17,630.37 = 7,467.91 : x
  2. Step 2: Convert to fraction form
    12,774.13/17,630.37 = 7,467.91/x
  3. Step 3: Cross multiply
    12,774.13x = 17,630.37 × 7,467.91
  4. Step 4: Simplify right side
    12,774.13x = 131,662,016.43
  5. Step 5: Solve for x
    x = 131,662,016.43/12,774.13
  6. Step 6: Final answer
    x = 10,306.93

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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.