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Finding the Fourth Proportional to 26,546.21, 39,783.92 and 9,889.47

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Solution

The fourth proportional to 26,546.21, 39,783.92 and 9,889.47 is: 14,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.21 : 39,783.92 = 9,889.47 : x
  2. Step 2: Convert to fraction form
    26,546.21/39,783.92 = 9,889.47/x
  3. Step 3: Cross multiply
    26,546.21x = 39,783.92 × 9,889.47
  4. Step 4: Simplify right side
    26,546.21x = 393,441,908.05
  5. Step 5: Solve for x
    x = 393,441,908.05/26,546.21
  6. Step 6: Final answer
    x = 14,821.02

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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.