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Finding the Fourth Proportional to 26,822.59, 40,224.76 and 9,288.31

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Solution

The fourth proportional to 26,822.59, 40,224.76 and 9,288.31 is: 13,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.59 : 40,224.76 = 9,288.31 : x
  2. Step 2: Convert to fraction form
    26,822.59/40,224.76 = 9,288.31/x
  3. Step 3: Cross multiply
    26,822.59x = 40,224.76 × 9,288.31
  4. Step 4: Simplify right side
    26,822.59x = 373,620,040.56
  5. Step 5: Solve for x
    x = 373,620,040.56/26,822.59
  6. Step 6: Final answer
    x = 13,929.31

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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.