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Finding the Fourth Proportional to 26,677.32, 40,022.06 and 9,146.09

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Solution

The fourth proportional to 26,677.32, 40,022.06 and 9,146.09 is: 13,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.32 : 40,022.06 = 9,146.09 : x
  2. Step 2: Convert to fraction form
    26,677.32/40,022.06 = 9,146.09/x
  3. Step 3: Cross multiply
    26,677.32x = 40,022.06 × 9,146.09
  4. Step 4: Simplify right side
    26,677.32x = 366,045,116.90
  5. Step 5: Solve for x
    x = 366,045,116.90/26,677.32
  6. Step 6: Final answer
    x = 13,721.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.