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Finding the Fourth Proportional to 28,120, 38,806.24 and 18,201.28

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Solution

The fourth proportional to 28,120, 38,806.24 and 18,201.28 is: 25,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,120 : 38,806.24 = 18,201.28 : x
  2. Step 2: Convert to fraction form
    28,120/38,806.24 = 18,201.28/x
  3. Step 3: Cross multiply
    28,120x = 38,806.24 × 18,201.28
  4. Step 4: Simplify right side
    28,120x = 706,323,239.99
  5. Step 5: Solve for x
    x = 706,323,239.99/28,120
  6. Step 6: Final answer
    x = 25,118.18

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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.