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Finding the Fourth Proportional to 26,706.44, 40,062 and 6,984.92

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Solution

The fourth proportional to 26,706.44, 40,062 and 6,984.92 is: 10,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.44 : 40,062 = 6,984.92 : x
  2. Step 2: Convert to fraction form
    26,706.44/40,062 = 6,984.92/x
  3. Step 3: Cross multiply
    26,706.44x = 40,062 × 6,984.92
  4. Step 4: Simplify right side
    26,706.44x = 279,829,865.04
  5. Step 5: Solve for x
    x = 279,829,865.04/26,706.44
  6. Step 6: Final answer
    x = 10,477.99

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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.