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Finding the Fourth Proportional to 29,276.34, 40,401 and 15,847.28

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Solution

The fourth proportional to 29,276.34, 40,401 and 15,847.28 is: 21,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,276.34 : 40,401 = 15,847.28 : x
  2. Step 2: Convert to fraction form
    29,276.34/40,401 = 15,847.28/x
  3. Step 3: Cross multiply
    29,276.34x = 40,401 × 15,847.28
  4. Step 4: Simplify right side
    29,276.34x = 640,245,959.28
  5. Step 5: Solve for x
    x = 640,245,959.28/29,276.34
  6. Step 6: Final answer
    x = 21,869.06

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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.