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Finding the Fourth Proportional to 26,180.71, 39,274.71 and 8,411.90

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Solution

The fourth proportional to 26,180.71, 39,274.71 and 8,411.90 is: 12,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,180.71 : 39,274.71 = 8,411.90 : x
  2. Step 2: Convert to fraction form
    26,180.71/39,274.71 = 8,411.90/x
  3. Step 3: Cross multiply
    26,180.71x = 39,274.71 × 8,411.90
  4. Step 4: Simplify right side
    26,180.71x = 330,375,031.24
  5. Step 5: Solve for x
    x = 330,375,031.24/26,180.71
  6. Step 6: Final answer
    x = 12,619.03

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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.