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Finding the Fourth Proportional to 15,491.77, 23,237.66 and 3,804.99

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Solution

The fourth proportional to 15,491.77, 23,237.66 and 3,804.99 is: 5,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.77 : 23,237.66 = 3,804.99 : x
  2. Step 2: Convert to fraction form
    15,491.77/23,237.66 = 3,804.99/x
  3. Step 3: Cross multiply
    15,491.77x = 23,237.66 × 3,804.99
  4. Step 4: Simplify right side
    15,491.77x = 88,419,063.92
  5. Step 5: Solve for x
    x = 88,419,063.92/15,491.77
  6. Step 6: Final answer
    x = 5,707.49

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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.