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Finding the Fourth Proportional to 15,197.13, 22,797 and 5,335.56

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Solution

The fourth proportional to 15,197.13, 22,797 and 5,335.56 is: 8,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.13 : 22,797 = 5,335.56 : x
  2. Step 2: Convert to fraction form
    15,197.13/22,797 = 5,335.56/x
  3. Step 3: Cross multiply
    15,197.13x = 22,797 × 5,335.56
  4. Step 4: Simplify right side
    15,197.13x = 121,634,761.32
  5. Step 5: Solve for x
    x = 121,634,761.32/15,197.13
  6. Step 6: Final answer
    x = 8,003.80

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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.