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Finding the Fourth Proportional to 26,283, 39,424.50 and 7,815

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Solution

The fourth proportional to 26,283, 39,424.50 and 7,815 is: 11,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,283 : 39,424.50 = 7,815 : x
  2. Step 2: Convert to fraction form
    26,283/39,424.50 = 7,815/x
  3. Step 3: Cross multiply
    26,283x = 39,424.50 × 7,815
  4. Step 4: Simplify right side
    26,283x = 308,102,467.50
  5. Step 5: Solve for x
    x = 308,102,467.50/26,283
  6. Step 6: Final answer
    x = 11,722.50

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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.