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Finding the Fourth Proportional to 25,269.71, 37,906.38 and 7,737.26

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Solution

The fourth proportional to 25,269.71, 37,906.38 and 7,737.26 is: 11,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269.71 : 37,906.38 = 7,737.26 : x
  2. Step 2: Convert to fraction form
    25,269.71/37,906.38 = 7,737.26/x
  3. Step 3: Cross multiply
    25,269.71x = 37,906.38 × 7,737.26
  4. Step 4: Simplify right side
    25,269.71x = 293,291,328.19
  5. Step 5: Solve for x
    x = 293,291,328.19/25,269.71
  6. Step 6: Final answer
    x = 11,606.44

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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.