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Finding the Fourth Proportional to 20,476.32, 28,257.44 and 11,524

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Solution

The fourth proportional to 20,476.32, 28,257.44 and 11,524 is: 15,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.32 : 28,257.44 = 11,524 : x
  2. Step 2: Convert to fraction form
    20,476.32/28,257.44 = 11,524/x
  3. Step 3: Cross multiply
    20,476.32x = 28,257.44 × 11,524
  4. Step 4: Simplify right side
    20,476.32x = 325,638,738.56
  5. Step 5: Solve for x
    x = 325,638,738.56/20,476.32
  6. Step 6: Final answer
    x = 15,903.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.