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Finding the Fourth Proportional to 12,902.29, 17,813.72 and 9,912.78

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Solution

The fourth proportional to 12,902.29, 17,813.72 and 9,912.78 is: 13,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.29 : 17,813.72 = 9,912.78 : x
  2. Step 2: Convert to fraction form
    12,902.29/17,813.72 = 9,912.78/x
  3. Step 3: Cross multiply
    12,902.29x = 17,813.72 × 9,912.78
  4. Step 4: Simplify right side
    12,902.29x = 176,583,512.12
  5. Step 5: Solve for x
    x = 176,583,512.12/12,902.29
  6. Step 6: Final answer
    x = 13,686.22

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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.