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Finding the Fourth Proportional to 25,051, 37,578.99 and 9,260.17

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Solution

The fourth proportional to 25,051, 37,578.99 and 9,260.17 is: 13,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051 : 37,578.99 = 9,260.17 : x
  2. Step 2: Convert to fraction form
    25,051/37,578.99 = 9,260.17/x
  3. Step 3: Cross multiply
    25,051x = 37,578.99 × 9,260.17
  4. Step 4: Simplify right side
    25,051x = 347,987,835.83
  5. Step 5: Solve for x
    x = 347,987,835.83/25,051
  6. Step 6: Final answer
    x = 13,891.18

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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.