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Finding the Fourth Proportional to 12,726.64, 19,082.20 and 5,705.36

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Solution

The fourth proportional to 12,726.64, 19,082.20 and 5,705.36 is: 8,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.64 : 19,082.20 = 5,705.36 : x
  2. Step 2: Convert to fraction form
    12,726.64/19,082.20 = 5,705.36/x
  3. Step 3: Cross multiply
    12,726.64x = 19,082.20 × 5,705.36
  4. Step 4: Simplify right side
    12,726.64x = 108,870,820.59
  5. Step 5: Solve for x
    x = 108,870,820.59/12,726.64
  6. Step 6: Final answer
    x = 8,554.56

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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.