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Finding the Fourth Proportional to 25,436.49, 38,154.81 and 7,906.32

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Solution

The fourth proportional to 25,436.49, 38,154.81 and 7,906.32 is: 11,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,436.49 : 38,154.81 = 7,906.32 : x
  2. Step 2: Convert to fraction form
    25,436.49/38,154.81 = 7,906.32/x
  3. Step 3: Cross multiply
    25,436.49x = 38,154.81 × 7,906.32
  4. Step 4: Simplify right side
    25,436.49x = 301,664,137.40
  5. Step 5: Solve for x
    x = 301,664,137.40/25,436.49
  6. Step 6: Final answer
    x = 11,859.50

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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.