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Finding the Fourth Proportional to 12,726.69, 19,096.11 and 6,149.22

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Solution

The fourth proportional to 12,726.69, 19,096.11 and 6,149.22 is: 9,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.69 : 19,096.11 = 6,149.22 : x
  2. Step 2: Convert to fraction form
    12,726.69/19,096.11 = 6,149.22/x
  3. Step 3: Cross multiply
    12,726.69x = 19,096.11 × 6,149.22
  4. Step 4: Simplify right side
    12,726.69x = 117,426,181.53
  5. Step 5: Solve for x
    x = 117,426,181.53/12,726.69
  6. Step 6: Final answer
    x = 9,226.77

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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.