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Finding the Fourth Proportional to 21,473.47, 32,212.42 and 7,433.47

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Solution

The fourth proportional to 21,473.47, 32,212.42 and 7,433.47 is: 11,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.47 : 32,212.42 = 7,433.47 : x
  2. Step 2: Convert to fraction form
    21,473.47/32,212.42 = 7,433.47/x
  3. Step 3: Cross multiply
    21,473.47x = 32,212.42 × 7,433.47
  4. Step 4: Simplify right side
    21,473.47x = 239,450,079.38
  5. Step 5: Solve for x
    x = 239,450,079.38/21,473.47
  6. Step 6: Final answer
    x = 11,150.97

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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.