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Finding the Fourth Proportional to 12,809.16, 17,677.08 and 7,431.19

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Solution

The fourth proportional to 12,809.16, 17,677.08 and 7,431.19 is: 10,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.16 : 17,677.08 = 7,431.19 : x
  2. Step 2: Convert to fraction form
    12,809.16/17,677.08 = 7,431.19/x
  3. Step 3: Cross multiply
    12,809.16x = 17,677.08 × 7,431.19
  4. Step 4: Simplify right side
    12,809.16x = 131,361,807.54
  5. Step 5: Solve for x
    x = 131,361,807.54/12,809.16
  6. Step 6: Final answer
    x = 10,255.30

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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.