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Finding the Fourth Proportional to 23,907, 35,866.26 and 7,491

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Solution

The fourth proportional to 23,907, 35,866.26 and 7,491 is: 11,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907 : 35,866.26 = 7,491 : x
  2. Step 2: Convert to fraction form
    23,907/35,866.26 = 7,491/x
  3. Step 3: Cross multiply
    23,907x = 35,866.26 × 7,491
  4. Step 4: Simplify right side
    23,907x = 268,674,153.66
  5. Step 5: Solve for x
    x = 268,674,153.66/23,907
  6. Step 6: Final answer
    x = 11,238.30

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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.