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Finding the Fourth Proportional to 12,754.25, 17,598.14 and 7,446.66

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Solution

The fourth proportional to 12,754.25, 17,598.14 and 7,446.66 is: 10,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.25 : 17,598.14 = 7,446.66 : x
  2. Step 2: Convert to fraction form
    12,754.25/17,598.14 = 7,446.66/x
  3. Step 3: Cross multiply
    12,754.25x = 17,598.14 × 7,446.66
  4. Step 4: Simplify right side
    12,754.25x = 131,047,327.98
  5. Step 5: Solve for x
    x = 131,047,327.98/12,754.25
  6. Step 6: Final answer
    x = 10,274.79

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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.