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Finding the Fourth Proportional to 26,263.74, 39,395.74 and 9,625

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Solution

The fourth proportional to 26,263.74, 39,395.74 and 9,625 is: 14,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,263.74 : 39,395.74 = 9,625 : x
  2. Step 2: Convert to fraction form
    26,263.74/39,395.74 = 9,625/x
  3. Step 3: Cross multiply
    26,263.74x = 39,395.74 × 9,625
  4. Step 4: Simplify right side
    26,263.74x = 379,183,997.50
  5. Step 5: Solve for x
    x = 379,183,997.50/26,263.74
  6. Step 6: Final answer
    x = 14,437.55

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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.