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Finding the Fourth Proportional to 19,726.29, 29,601.81 and 8,039.52

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Solution

The fourth proportional to 19,726.29, 29,601.81 and 8,039.52 is: 12,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.29 : 29,601.81 = 8,039.52 : x
  2. Step 2: Convert to fraction form
    19,726.29/29,601.81 = 8,039.52/x
  3. Step 3: Cross multiply
    19,726.29x = 29,601.81 × 8,039.52
  4. Step 4: Simplify right side
    19,726.29x = 237,984,343.53
  5. Step 5: Solve for x
    x = 237,984,343.53/19,726.29
  6. Step 6: Final answer
    x = 12,064.32

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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.