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Finding the Fourth Proportional to 12,634.70, 18,952.14 and 4,314.92

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Solution

The fourth proportional to 12,634.70, 18,952.14 and 4,314.92 is: 6,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.70 : 18,952.14 = 4,314.92 : x
  2. Step 2: Convert to fraction form
    12,634.70/18,952.14 = 4,314.92/x
  3. Step 3: Cross multiply
    12,634.70x = 18,952.14 × 4,314.92
  4. Step 4: Simplify right side
    12,634.70x = 81,776,967.93
  5. Step 5: Solve for x
    x = 81,776,967.93/12,634.70
  6. Step 6: Final answer
    x = 6,472.41

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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.