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Finding the Fourth Proportional to 16,133.63, 22,212.92 and 13,766.27

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Solution

The fourth proportional to 16,133.63, 22,212.92 and 13,766.27 is: 18,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.63 : 22,212.92 = 13,766.27 : x
  2. Step 2: Convert to fraction form
    16,133.63/22,212.92 = 13,766.27/x
  3. Step 3: Cross multiply
    16,133.63x = 22,212.92 × 13,766.27
  4. Step 4: Simplify right side
    16,133.63x = 305,788,985.38
  5. Step 5: Solve for x
    x = 305,788,985.38/16,133.63
  6. Step 6: Final answer
    x = 18,953.51

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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.