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Finding the Fourth Proportional to 25,197.68, 37,796.93 and 6,477.30

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Solution

The fourth proportional to 25,197.68, 37,796.93 and 6,477.30 is: 9,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.68 : 37,796.93 = 6,477.30 : x
  2. Step 2: Convert to fraction form
    25,197.68/37,796.93 = 6,477.30/x
  3. Step 3: Cross multiply
    25,197.68x = 37,796.93 × 6,477.30
  4. Step 4: Simplify right side
    25,197.68x = 244,822,046.59
  5. Step 5: Solve for x
    x = 244,822,046.59/25,197.68
  6. Step 6: Final answer
    x = 9,716.05

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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.