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Finding the Fourth Proportional to 16,086.62, 24,129 and 6,726.26

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Solution

The fourth proportional to 16,086.62, 24,129 and 6,726.26 is: 10,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.62 : 24,129 = 6,726.26 : x
  2. Step 2: Convert to fraction form
    16,086.62/24,129 = 6,726.26/x
  3. Step 3: Cross multiply
    16,086.62x = 24,129 × 6,726.26
  4. Step 4: Simplify right side
    16,086.62x = 162,297,927.54
  5. Step 5: Solve for x
    x = 162,297,927.54/16,086.62
  6. Step 6: Final answer
    x = 10,089.00

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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.