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Finding the Fourth Proportional to 25,187.69, 37,777.28 and 8,315.48

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Solution

The fourth proportional to 25,187.69, 37,777.28 and 8,315.48 is: 12,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.69 : 37,777.28 = 8,315.48 : x
  2. Step 2: Convert to fraction form
    25,187.69/37,777.28 = 8,315.48/x
  3. Step 3: Cross multiply
    25,187.69x = 37,777.28 × 8,315.48
  4. Step 4: Simplify right side
    25,187.69x = 314,135,985.83
  5. Step 5: Solve for x
    x = 314,135,985.83/25,187.69
  6. Step 6: Final answer
    x = 12,471.81

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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.