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Finding the Fourth Proportional to 12,262.34, 18,396.23 and 4,471.13

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Solution

The fourth proportional to 12,262.34, 18,396.23 and 4,471.13 is: 6,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.34 : 18,396.23 = 4,471.13 : x
  2. Step 2: Convert to fraction form
    12,262.34/18,396.23 = 4,471.13/x
  3. Step 3: Cross multiply
    12,262.34x = 18,396.23 × 4,471.13
  4. Step 4: Simplify right side
    12,262.34x = 82,251,935.84
  5. Step 5: Solve for x
    x = 82,251,935.84/12,262.34
  6. Step 6: Final answer
    x = 6,707.69

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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.