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Finding the Fourth Proportional to 21,022.66, 31,547.22 and 8,542.99

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Solution

The fourth proportional to 21,022.66, 31,547.22 and 8,542.99 is: 12,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.66 : 31,547.22 = 8,542.99 : x
  2. Step 2: Convert to fraction form
    21,022.66/31,547.22 = 8,542.99/x
  3. Step 3: Cross multiply
    21,022.66x = 31,547.22 × 8,542.99
  4. Step 4: Simplify right side
    21,022.66x = 269,507,584.99
  5. Step 5: Solve for x
    x = 269,507,584.99/21,022.66
  6. Step 6: Final answer
    x = 12,819.86

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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.