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Finding the Fourth Proportional to 21,206.66, 31,782.51 and 8,712.54

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Solution

The fourth proportional to 21,206.66, 31,782.51 and 8,712.54 is: 13,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.66 : 31,782.51 = 8,712.54 : x
  2. Step 2: Convert to fraction form
    21,206.66/31,782.51 = 8,712.54/x
  3. Step 3: Cross multiply
    21,206.66x = 31,782.51 × 8,712.54
  4. Step 4: Simplify right side
    21,206.66x = 276,906,389.68
  5. Step 5: Solve for x
    x = 276,906,389.68/21,206.66
  6. Step 6: Final answer
    x = 13,057.52

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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.