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Finding the Fourth Proportional to 25,415.28, 38,123.28 and 7,884.72

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Solution

The fourth proportional to 25,415.28, 38,123.28 and 7,884.72 is: 11,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.28 : 38,123.28 = 7,884.72 : x
  2. Step 2: Convert to fraction form
    25,415.28/38,123.28 = 7,884.72/x
  3. Step 3: Cross multiply
    25,415.28x = 38,123.28 × 7,884.72
  4. Step 4: Simplify right side
    25,415.28x = 300,591,388.28
  5. Step 5: Solve for x
    x = 300,591,388.28/25,415.28
  6. Step 6: Final answer
    x = 11,827.19

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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.