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Finding the Fourth Proportional to 22,829.78, 34,243.49 and 8,038.80

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Solution

The fourth proportional to 22,829.78, 34,243.49 and 8,038.80 is: 12,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.78 : 34,243.49 = 8,038.80 : x
  2. Step 2: Convert to fraction form
    22,829.78/34,243.49 = 8,038.80/x
  3. Step 3: Cross multiply
    22,829.78x = 34,243.49 × 8,038.80
  4. Step 4: Simplify right side
    22,829.78x = 275,276,587.51
  5. Step 5: Solve for x
    x = 275,276,587.51/22,829.78
  6. Step 6: Final answer
    x = 12,057.78

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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.