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Finding the Fourth Proportional to 26,446.97, 39,645.14 and 9,802.52

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Solution

The fourth proportional to 26,446.97, 39,645.14 and 9,802.52 is: 14,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446.97 : 39,645.14 = 9,802.52 : x
  2. Step 2: Convert to fraction form
    26,446.97/39,645.14 = 9,802.52/x
  3. Step 3: Cross multiply
    26,446.97x = 39,645.14 × 9,802.52
  4. Step 4: Simplify right side
    26,446.97x = 388,622,401.37
  5. Step 5: Solve for x
    x = 388,622,401.37/26,446.97
  6. Step 6: Final answer
    x = 14,694.40

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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.