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Finding the Fourth Proportional to 17,733.77, 24,295.17 and 17,069.03

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Solution

The fourth proportional to 17,733.77, 24,295.17 and 17,069.03 is: 23,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.77 : 24,295.17 = 17,069.03 : x
  2. Step 2: Convert to fraction form
    17,733.77/24,295.17 = 17,069.03/x
  3. Step 3: Cross multiply
    17,733.77x = 24,295.17 × 17,069.03
  4. Step 4: Simplify right side
    17,733.77x = 414,694,900.24
  5. Step 5: Solve for x
    x = 414,694,900.24/17,733.77
  6. Step 6: Final answer
    x = 23,384.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.