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Finding the Fourth Proportional to 26,984.61, 40,475.48 and 8,264.66

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Solution

The fourth proportional to 26,984.61, 40,475.48 and 8,264.66 is: 12,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984.61 : 40,475.48 = 8,264.66 : x
  2. Step 2: Convert to fraction form
    26,984.61/40,475.48 = 8,264.66/x
  3. Step 3: Cross multiply
    26,984.61x = 40,475.48 × 8,264.66
  4. Step 4: Simplify right side
    26,984.61x = 334,515,836.84
  5. Step 5: Solve for x
    x = 334,515,836.84/26,984.61
  6. Step 6: Final answer
    x = 12,396.54

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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.