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Finding the Fourth Proportional to 19,201.15, 28,797 and 8,102.13

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Solution

The fourth proportional to 19,201.15, 28,797 and 8,102.13 is: 12,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.15 : 28,797 = 8,102.13 : x
  2. Step 2: Convert to fraction form
    19,201.15/28,797 = 8,102.13/x
  3. Step 3: Cross multiply
    19,201.15x = 28,797 × 8,102.13
  4. Step 4: Simplify right side
    19,201.15x = 233,317,037.61
  5. Step 5: Solve for x
    x = 233,317,037.61/19,201.15
  6. Step 6: Final answer
    x = 12,151.20

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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.