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Finding the Fourth Proportional to 28,101.28, 38,774.16 and 16,924

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Solution

The fourth proportional to 28,101.28, 38,774.16 and 16,924 is: 23,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.28 : 38,774.16 = 16,924 : x
  2. Step 2: Convert to fraction form
    28,101.28/38,774.16 = 16,924/x
  3. Step 3: Cross multiply
    28,101.28x = 38,774.16 × 16,924
  4. Step 4: Simplify right side
    28,101.28x = 656,213,883.84
  5. Step 5: Solve for x
    x = 656,213,883.84/28,101.28
  6. Step 6: Final answer
    x = 23,351.74

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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.