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Finding the Fourth Proportional to 26,906.50, 37,129.16 and 14,969.40

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Solution

The fourth proportional to 26,906.50, 37,129.16 and 14,969.40 is: 20,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.50 : 37,129.16 = 14,969.40 : x
  2. Step 2: Convert to fraction form
    26,906.50/37,129.16 = 14,969.40/x
  3. Step 3: Cross multiply
    26,906.50x = 37,129.16 × 14,969.40
  4. Step 4: Simplify right side
    26,906.50x = 555,801,247.70
  5. Step 5: Solve for x
    x = 555,801,247.70/26,906.50
  6. Step 6: Final answer
    x = 20,656.77

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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.