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Finding the Fourth Proportional to 25,128, 37,692 and 10,344.96

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Solution

The fourth proportional to 25,128, 37,692 and 10,344.96 is: 15,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 37,692 = 10,344.96 : x
  2. Step 2: Convert to fraction form
    25,128/37,692 = 10,344.96/x
  3. Step 3: Cross multiply
    25,128x = 37,692 × 10,344.96
  4. Step 4: Simplify right side
    25,128x = 389,922,232.32
  5. Step 5: Solve for x
    x = 389,922,232.32/25,128
  6. Step 6: Final answer
    x = 15,517.44

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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.