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Finding the Fourth Proportional to 22,166.72, 30,594.03 and 13,214.81

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Solution

The fourth proportional to 22,166.72, 30,594.03 and 13,214.81 is: 18,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,166.72 : 30,594.03 = 13,214.81 : x
  2. Step 2: Convert to fraction form
    22,166.72/30,594.03 = 13,214.81/x
  3. Step 3: Cross multiply
    22,166.72x = 30,594.03 × 13,214.81
  4. Step 4: Simplify right side
    22,166.72x = 404,294,293.58
  5. Step 5: Solve for x
    x = 404,294,293.58/22,166.72
  6. Step 6: Final answer
    x = 18,238.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.