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Finding the Fourth Proportional to 25,198.80, 37,802.27 and 7,664.50

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Solution

The fourth proportional to 25,198.80, 37,802.27 and 7,664.50 is: 11,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.80 : 37,802.27 = 7,664.50 : x
  2. Step 2: Convert to fraction form
    25,198.80/37,802.27 = 7,664.50/x
  3. Step 3: Cross multiply
    25,198.80x = 37,802.27 × 7,664.50
  4. Step 4: Simplify right side
    25,198.80x = 289,735,498.42
  5. Step 5: Solve for x
    x = 289,735,498.42/25,198.80
  6. Step 6: Final answer
    x = 11,497.99

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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.