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Finding the Fourth Proportional to 22,862.34, 34,293.60 and 8,063.22

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Solution

The fourth proportional to 22,862.34, 34,293.60 and 8,063.22 is: 12,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.34 : 34,293.60 = 8,063.22 : x
  2. Step 2: Convert to fraction form
    22,862.34/34,293.60 = 8,063.22/x
  3. Step 3: Cross multiply
    22,862.34x = 34,293.60 × 8,063.22
  4. Step 4: Simplify right side
    22,862.34x = 276,516,841.39
  5. Step 5: Solve for x
    x = 276,516,841.39/22,862.34
  6. Step 6: Final answer
    x = 12,094.86

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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.