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Finding the Fourth Proportional to 23,290.87, 34,899.84 and 9,243.31

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Solution

The fourth proportional to 23,290.87, 34,899.84 and 9,243.31 is: 13,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.87 : 34,899.84 = 9,243.31 : x
  2. Step 2: Convert to fraction form
    23,290.87/34,899.84 = 9,243.31/x
  3. Step 3: Cross multiply
    23,290.87x = 34,899.84 × 9,243.31
  4. Step 4: Simplify right side
    23,290.87x = 322,590,040.07
  5. Step 5: Solve for x
    x = 322,590,040.07/23,290.87
  6. Step 6: Final answer
    x = 13,850.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.