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Finding the Fourth Proportional to 25,427.28, 38,141.28 and 7,896

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Solution

The fourth proportional to 25,427.28, 38,141.28 and 7,896 is: 11,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.28 : 38,141.28 = 7,896 : x
  2. Step 2: Convert to fraction form
    25,427.28/38,141.28 = 7,896/x
  3. Step 3: Cross multiply
    25,427.28x = 38,141.28 × 7,896
  4. Step 4: Simplify right side
    25,427.28x = 301,163,546.88
  5. Step 5: Solve for x
    x = 301,163,546.88/25,427.28
  6. Step 6: Final answer
    x = 11,844.11

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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.