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Finding the Fourth Proportional to 24,918.63, 37,363.92 and 8,274.20

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Solution

The fourth proportional to 24,918.63, 37,363.92 and 8,274.20 is: 12,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918.63 : 37,363.92 = 8,274.20 : x
  2. Step 2: Convert to fraction form
    24,918.63/37,363.92 = 8,274.20/x
  3. Step 3: Cross multiply
    24,918.63x = 37,363.92 × 8,274.20
  4. Step 4: Simplify right side
    24,918.63x = 309,156,360.04
  5. Step 5: Solve for x
    x = 309,156,360.04/24,918.63
  6. Step 6: Final answer
    x = 12,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.