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Finding the Fourth Proportional to 26,534.63, 39,802.37 and 9,891.22

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Solution

The fourth proportional to 26,534.63, 39,802.37 and 9,891.22 is: 14,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.63 : 39,802.37 = 9,891.22 : x
  2. Step 2: Convert to fraction form
    26,534.63/39,802.37 = 9,891.22/x
  3. Step 3: Cross multiply
    26,534.63x = 39,802.37 × 9,891.22
  4. Step 4: Simplify right side
    26,534.63x = 393,694,049.21
  5. Step 5: Solve for x
    x = 393,694,049.21/26,534.63
  6. Step 6: Final answer
    x = 14,836.99

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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.