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Finding the Fourth Proportional to 22,801.20, 34,201.76 and 7,220

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Solution

The fourth proportional to 22,801.20, 34,201.76 and 7,220 is: 10,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.20 : 34,201.76 = 7,220 : x
  2. Step 2: Convert to fraction form
    22,801.20/34,201.76 = 7,220/x
  3. Step 3: Cross multiply
    22,801.20x = 34,201.76 × 7,220
  4. Step 4: Simplify right side
    22,801.20x = 246,936,707.20
  5. Step 5: Solve for x
    x = 246,936,707.20/22,801.20
  6. Step 6: Final answer
    x = 10,829.99

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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.