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Finding the Fourth Proportional to 12,146.09, 16,769.35 and 9,913.29

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Solution

The fourth proportional to 12,146.09, 16,769.35 and 9,913.29 is: 13,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.09 : 16,769.35 = 9,913.29 : x
  2. Step 2: Convert to fraction form
    12,146.09/16,769.35 = 9,913.29/x
  3. Step 3: Cross multiply
    12,146.09x = 16,769.35 × 9,913.29
  4. Step 4: Simplify right side
    12,146.09x = 166,239,380.10
  5. Step 5: Solve for x
    x = 166,239,380.10/12,146.09
  6. Step 6: Final answer
    x = 13,686.66

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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.