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Finding the Fourth Proportional to 25,392.40, 38,092.26 and 7,863.76

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Solution

The fourth proportional to 25,392.40, 38,092.26 and 7,863.76 is: 11,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,392.40 : 38,092.26 = 7,863.76 : x
  2. Step 2: Convert to fraction form
    25,392.40/38,092.26 = 7,863.76/x
  3. Step 3: Cross multiply
    25,392.40x = 38,092.26 × 7,863.76
  4. Step 4: Simplify right side
    25,392.40x = 299,548,390.50
  5. Step 5: Solve for x
    x = 299,548,390.50/25,392.40
  6. Step 6: Final answer
    x = 11,796.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.