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Finding the Fourth Proportional to 12,949.66, 17,877.36 and 9,175.96

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Solution

The fourth proportional to 12,949.66, 17,877.36 and 9,175.96 is: 12,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.66 : 17,877.36 = 9,175.96 : x
  2. Step 2: Convert to fraction form
    12,949.66/17,877.36 = 9,175.96/x
  3. Step 3: Cross multiply
    12,949.66x = 17,877.36 × 9,175.96
  4. Step 4: Simplify right side
    12,949.66x = 164,041,940.27
  5. Step 5: Solve for x
    x = 164,041,940.27/12,949.66
  6. Step 6: Final answer
    x = 12,667.66

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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.