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Finding the Fourth Proportional to 12,726.87, 19,082.63 and 5,705.61

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Solution

The fourth proportional to 12,726.87, 19,082.63 and 5,705.61 is: 8,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.87 : 19,082.63 = 5,705.61 : x
  2. Step 2: Convert to fraction form
    12,726.87/19,082.63 = 5,705.61/x
  3. Step 3: Cross multiply
    12,726.87x = 19,082.63 × 5,705.61
  4. Step 4: Simplify right side
    12,726.87x = 108,877,982.58
  5. Step 5: Solve for x
    x = 108,877,982.58/12,726.87
  6. Step 6: Final answer
    x = 8,554.97

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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.