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Finding the Fourth Proportional to 21,796.74, 32,695.02 and 6,214.32

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Solution

The fourth proportional to 21,796.74, 32,695.02 and 6,214.32 is: 9,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.74 : 32,695.02 = 6,214.32 : x
  2. Step 2: Convert to fraction form
    21,796.74/32,695.02 = 6,214.32/x
  3. Step 3: Cross multiply
    21,796.74x = 32,695.02 × 6,214.32
  4. Step 4: Simplify right side
    21,796.74x = 203,177,316.69
  5. Step 5: Solve for x
    x = 203,177,316.69/21,796.74
  6. Step 6: Final answer
    x = 9,321.45

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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.