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Finding the Fourth Proportional to 25,371.95, 38,062.70 and 7,837.67

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Solution

The fourth proportional to 25,371.95, 38,062.70 and 7,837.67 is: 11,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371.95 : 38,062.70 = 7,837.67 : x
  2. Step 2: Convert to fraction form
    25,371.95/38,062.70 = 7,837.67/x
  3. Step 3: Cross multiply
    25,371.95x = 38,062.70 × 7,837.67
  4. Step 4: Simplify right side
    25,371.95x = 298,322,881.91
  5. Step 5: Solve for x
    x = 298,322,881.91/25,371.95
  6. Step 6: Final answer
    x = 11,757.98

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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.