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Finding the Fourth Proportional to 12,809.13, 19,194.26 and 9,506.76

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Solution

The fourth proportional to 12,809.13, 19,194.26 and 9,506.76 is: 14,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.13 : 19,194.26 = 9,506.76 : x
  2. Step 2: Convert to fraction form
    12,809.13/19,194.26 = 9,506.76/x
  3. Step 3: Cross multiply
    12,809.13x = 19,194.26 × 9,506.76
  4. Step 4: Simplify right side
    12,809.13x = 182,475,175.66
  5. Step 5: Solve for x
    x = 182,475,175.66/12,809.13
  6. Step 6: Final answer
    x = 14,245.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.