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Finding the Fourth Proportional to 17,414.86, 26,122.95 and 5,729.02

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Solution

The fourth proportional to 17,414.86, 26,122.95 and 5,729.02 is: 8,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.86 : 26,122.95 = 5,729.02 : x
  2. Step 2: Convert to fraction form
    17,414.86/26,122.95 = 5,729.02/x
  3. Step 3: Cross multiply
    17,414.86x = 26,122.95 × 5,729.02
  4. Step 4: Simplify right side
    17,414.86x = 149,658,903.01
  5. Step 5: Solve for x
    x = 149,658,903.01/17,414.86
  6. Step 6: Final answer
    x = 8,593.75

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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.