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Finding the Fourth Proportional to 17,846.14, 26,740 and 10,804.81

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Solution

The fourth proportional to 17,846.14, 26,740 and 10,804.81 is: 16,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.14 : 26,740 = 10,804.81 : x
  2. Step 2: Convert to fraction form
    17,846.14/26,740 = 10,804.81/x
  3. Step 3: Cross multiply
    17,846.14x = 26,740 × 10,804.81
  4. Step 4: Simplify right side
    17,846.14x = 288,920,619.40
  5. Step 5: Solve for x
    x = 288,920,619.40/17,846.14
  6. Step 6: Final answer
    x = 16,189.53

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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.