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Finding the Fourth Proportional to 22,432.16, 33,647.88 and 7,640.96

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Solution

The fourth proportional to 22,432.16, 33,647.88 and 7,640.96 is: 11,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.16 : 33,647.88 = 7,640.96 : x
  2. Step 2: Convert to fraction form
    22,432.16/33,647.88 = 7,640.96/x
  3. Step 3: Cross multiply
    22,432.16x = 33,647.88 × 7,640.96
  4. Step 4: Simplify right side
    22,432.16x = 257,102,105.16
  5. Step 5: Solve for x
    x = 257,102,105.16/22,432.16
  6. Step 6: Final answer
    x = 11,461.32

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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.