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Finding the Fourth Proportional to 23,241.27, 34,875.57 and 9,202.65

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Solution

The fourth proportional to 23,241.27, 34,875.57 and 9,202.65 is: 13,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.27 : 34,875.57 = 9,202.65 : x
  2. Step 2: Convert to fraction form
    23,241.27/34,875.57 = 9,202.65/x
  3. Step 3: Cross multiply
    23,241.27x = 34,875.57 × 9,202.65
  4. Step 4: Simplify right side
    23,241.27x = 320,947,664.26
  5. Step 5: Solve for x
    x = 320,947,664.26/23,241.27
  6. Step 6: Final answer
    x = 13,809.39

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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.