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Finding the Fourth Proportional to 21,039.82, 31,532.47 and 8,545.23

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Solution

The fourth proportional to 21,039.82, 31,532.47 and 8,545.23 is: 12,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,039.82 : 31,532.47 = 8,545.23 : x
  2. Step 2: Convert to fraction form
    21,039.82/31,532.47 = 8,545.23/x
  3. Step 3: Cross multiply
    21,039.82x = 31,532.47 × 8,545.23
  4. Step 4: Simplify right side
    21,039.82x = 269,452,187.26
  5. Step 5: Solve for x
    x = 269,452,187.26/21,039.82
  6. Step 6: Final answer
    x = 12,806.77

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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.