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Finding the Fourth Proportional to 23,291.87, 34,901.34 and 9,244.31

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Solution

The fourth proportional to 23,291.87, 34,901.34 and 9,244.31 is: 13,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.87 : 34,901.34 = 9,244.31 : x
  2. Step 2: Convert to fraction form
    23,291.87/34,901.34 = 9,244.31/x
  3. Step 3: Cross multiply
    23,291.87x = 34,901.34 × 9,244.31
  4. Step 4: Simplify right side
    23,291.87x = 322,638,806.38
  5. Step 5: Solve for x
    x = 322,638,806.38/23,291.87
  6. Step 6: Final answer
    x = 13,851.99

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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.