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Finding the Fourth Proportional to 14,610.51, 20,161.26 and 8,942.83

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Solution

The fourth proportional to 14,610.51, 20,161.26 and 8,942.83 is: 12,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.51 : 20,161.26 = 8,942.83 : x
  2. Step 2: Convert to fraction form
    14,610.51/20,161.26 = 8,942.83/x
  3. Step 3: Cross multiply
    14,610.51x = 20,161.26 × 8,942.83
  4. Step 4: Simplify right side
    14,610.51x = 180,298,670.36
  5. Step 5: Solve for x
    x = 180,298,670.36/14,610.51
  6. Step 6: Final answer
    x = 12,340.34

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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.