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Finding the Fourth Proportional to 25,153.24, 37,735.44 and 9,571

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Solution

The fourth proportional to 25,153.24, 37,735.44 and 9,571 is: 14,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.24 : 37,735.44 = 9,571 : x
  2. Step 2: Convert to fraction form
    25,153.24/37,735.44 = 9,571/x
  3. Step 3: Cross multiply
    25,153.24x = 37,735.44 × 9,571
  4. Step 4: Simplify right side
    25,153.24x = 361,165,896.24
  5. Step 5: Solve for x
    x = 361,165,896.24/25,153.24
  6. Step 6: Final answer
    x = 14,358.62

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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.