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Finding the Fourth Proportional to 20,797.76, 31,196.10 and 5,215.52

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Solution

The fourth proportional to 20,797.76, 31,196.10 and 5,215.52 is: 7,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.76 : 31,196.10 = 5,215.52 : x
  2. Step 2: Convert to fraction form
    20,797.76/31,196.10 = 5,215.52/x
  3. Step 3: Cross multiply
    20,797.76x = 31,196.10 × 5,215.52
  4. Step 4: Simplify right side
    20,797.76x = 162,703,883.47
  5. Step 5: Solve for x
    x = 162,703,883.47/20,797.76
  6. Step 6: Final answer
    x = 7,823.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.