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Finding the Fourth Proportional to 29,986, 41,384.33 and 17,410.75

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Solution

The fourth proportional to 29,986, 41,384.33 and 17,410.75 is: 24,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986 : 41,384.33 = 17,410.75 : x
  2. Step 2: Convert to fraction form
    29,986/41,384.33 = 17,410.75/x
  3. Step 3: Cross multiply
    29,986x = 41,384.33 × 17,410.75
  4. Step 4: Simplify right side
    29,986x = 720,532,223.55
  5. Step 5: Solve for x
    x = 720,532,223.55/29,986
  6. Step 6: Final answer
    x = 24,028.95

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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.