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Finding the Fourth Proportional to 17,684.99, 24,402.03 and 10,517.30

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Solution

The fourth proportional to 17,684.99, 24,402.03 and 10,517.30 is: 14,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.99 : 24,402.03 = 10,517.30 : x
  2. Step 2: Convert to fraction form
    17,684.99/24,402.03 = 10,517.30/x
  3. Step 3: Cross multiply
    17,684.99x = 24,402.03 × 10,517.30
  4. Step 4: Simplify right side
    17,684.99x = 256,643,470.12
  5. Step 5: Solve for x
    x = 256,643,470.12/17,684.99
  6. Step 6: Final answer
    x = 14,511.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.