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Finding the Fourth Proportional to 21,867.53, 32,793.05 and 7,072.47

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Solution

The fourth proportional to 21,867.53, 32,793.05 and 7,072.47 is: 10,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.53 : 32,793.05 = 7,072.47 : x
  2. Step 2: Convert to fraction form
    21,867.53/32,793.05 = 7,072.47/x
  3. Step 3: Cross multiply
    21,867.53x = 32,793.05 × 7,072.47
  4. Step 4: Simplify right side
    21,867.53x = 231,927,880.01
  5. Step 5: Solve for x
    x = 231,927,880.01/21,867.53
  6. Step 6: Final answer
    x = 10,606.04

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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.