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Finding the Fourth Proportional to 22,845.20, 34,270.20 and 7,259.20

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Solution

The fourth proportional to 22,845.20, 34,270.20 and 7,259.20 is: 10,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,845.20 : 34,270.20 = 7,259.20 : x
  2. Step 2: Convert to fraction form
    22,845.20/34,270.20 = 7,259.20/x
  3. Step 3: Cross multiply
    22,845.20x = 34,270.20 × 7,259.20
  4. Step 4: Simplify right side
    22,845.20x = 248,774,235.84
  5. Step 5: Solve for x
    x = 248,774,235.84/22,845.20
  6. Step 6: Final answer
    x = 10,889.56

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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.