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Finding the Fourth Proportional to 12,146.22, 16,769.52 and 9,913.42

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Solution

The fourth proportional to 12,146.22, 16,769.52 and 9,913.42 is: 13,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.22 : 16,769.52 = 9,913.42 : x
  2. Step 2: Convert to fraction form
    12,146.22/16,769.52 = 9,913.42/x
  3. Step 3: Cross multiply
    12,146.22x = 16,769.52 × 9,913.42
  4. Step 4: Simplify right side
    12,146.22x = 166,243,161.54
  5. Step 5: Solve for x
    x = 166,243,161.54/12,146.22
  6. Step 6: Final answer
    x = 13,686.83

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