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Finding the Fourth Proportional to 16,545.41, 22,833.22 and 9,738.21

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Solution

The fourth proportional to 16,545.41, 22,833.22 and 9,738.21 is: 13,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.41 : 22,833.22 = 9,738.21 : x
  2. Step 2: Convert to fraction form
    16,545.41/22,833.22 = 9,738.21/x
  3. Step 3: Cross multiply
    16,545.41x = 22,833.22 × 9,738.21
  4. Step 4: Simplify right side
    16,545.41x = 222,354,628.51
  5. Step 5: Solve for x
    x = 222,354,628.51/16,545.41
  6. Step 6: Final answer
    x = 13,439.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.