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Finding the Fourth Proportional to 12,994.29, 17,932.14 and 7,693.56

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Solution

The fourth proportional to 12,994.29, 17,932.14 and 7,693.56 is: 10,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.29 : 17,932.14 = 7,693.56 : x
  2. Step 2: Convert to fraction form
    12,994.29/17,932.14 = 7,693.56/x
  3. Step 3: Cross multiply
    12,994.29x = 17,932.14 × 7,693.56
  4. Step 4: Simplify right side
    12,994.29x = 137,961,995.02
  5. Step 5: Solve for x
    x = 137,961,995.02/12,994.29
  6. Step 6: Final answer
    x = 10,617.12

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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.