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Finding the Fourth Proportional to 28,135.20, 38,828.40 and 16,202.40

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Solution

The fourth proportional to 28,135.20, 38,828.40 and 16,202.40 is: 22,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,135.20 : 38,828.40 = 16,202.40 : x
  2. Step 2: Convert to fraction form
    28,135.20/38,828.40 = 16,202.40/x
  3. Step 3: Cross multiply
    28,135.20x = 38,828.40 × 16,202.40
  4. Step 4: Simplify right side
    28,135.20x = 629,113,268.16
  5. Step 5: Solve for x
    x = 629,113,268.16/28,135.20
  6. Step 6: Final answer
    x = 22,360.36

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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.