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Finding the Fourth Proportional to 25,186.95, 37,777.32 and 10,393.95

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Solution

The fourth proportional to 25,186.95, 37,777.32 and 10,393.95 is: 15,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.95 : 37,777.32 = 10,393.95 : x
  2. Step 2: Convert to fraction form
    25,186.95/37,777.32 = 10,393.95/x
  3. Step 3: Cross multiply
    25,186.95x = 37,777.32 × 10,393.95
  4. Step 4: Simplify right side
    25,186.95x = 392,655,575.21
  5. Step 5: Solve for x
    x = 392,655,575.21/25,186.95
  6. Step 6: Final answer
    x = 15,589.64

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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.