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Finding the Fourth Proportional to 12,331.53, 18,497.31 and 7,952.06

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Solution

The fourth proportional to 12,331.53, 18,497.31 and 7,952.06 is: 11,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.53 : 18,497.31 = 7,952.06 : x
  2. Step 2: Convert to fraction form
    12,331.53/18,497.31 = 7,952.06/x
  3. Step 3: Cross multiply
    12,331.53x = 18,497.31 × 7,952.06
  4. Step 4: Simplify right side
    12,331.53x = 147,091,754.10
  5. Step 5: Solve for x
    x = 147,091,754.10/12,331.53
  6. Step 6: Final answer
    x = 11,928.10

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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.