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Finding the Fourth Proportional to 22,852.52, 34,284.25 and 8,064.76

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Solution

The fourth proportional to 22,852.52, 34,284.25 and 8,064.76 is: 12,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.52 : 34,284.25 = 8,064.76 : x
  2. Step 2: Convert to fraction form
    22,852.52/34,284.25 = 8,064.76/x
  3. Step 3: Cross multiply
    22,852.52x = 34,284.25 × 8,064.76
  4. Step 4: Simplify right side
    22,852.52x = 276,494,036.28
  5. Step 5: Solve for x
    x = 276,494,036.28/22,852.52
  6. Step 6: Final answer
    x = 12,099.06

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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.