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Finding the Fourth Proportional to 26,474.84, 39,718 and 7,756.44

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Solution

The fourth proportional to 26,474.84, 39,718 and 7,756.44 is: 11,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,474.84 : 39,718 = 7,756.44 : x
  2. Step 2: Convert to fraction form
    26,474.84/39,718 = 7,756.44/x
  3. Step 3: Cross multiply
    26,474.84x = 39,718 × 7,756.44
  4. Step 4: Simplify right side
    26,474.84x = 308,070,283.92
  5. Step 5: Solve for x
    x = 308,070,283.92/26,474.84
  6. Step 6: Final answer
    x = 11,636.34

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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.