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Finding the Fourth Proportional to 22,852.74, 34,284.24 and 8,061.78

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Solution

The fourth proportional to 22,852.74, 34,284.24 and 8,061.78 is: 12,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.74 : 34,284.24 = 8,061.78 : x
  2. Step 2: Convert to fraction form
    22,852.74/34,284.24 = 8,061.78/x
  3. Step 3: Cross multiply
    22,852.74x = 34,284.24 × 8,061.78
  4. Step 4: Simplify right side
    22,852.74x = 276,392,128.91
  5. Step 5: Solve for x
    x = 276,392,128.91/22,852.74
  6. Step 6: Final answer
    x = 12,094.48

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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.