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Finding the Fourth Proportional to 14,782.33, 22,180.10 and 8,029.97

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Solution

The fourth proportional to 14,782.33, 22,180.10 and 8,029.97 is: 12,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.33 : 22,180.10 = 8,029.97 : x
  2. Step 2: Convert to fraction form
    14,782.33/22,180.10 = 8,029.97/x
  3. Step 3: Cross multiply
    14,782.33x = 22,180.10 × 8,029.97
  4. Step 4: Simplify right side
    14,782.33x = 178,105,386.55
  5. Step 5: Solve for x
    x = 178,105,386.55/14,782.33
  6. Step 6: Final answer
    x = 12,048.53

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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.