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Finding the Fourth Proportional to 15,643.50, 23,465.00 and 3,797.37

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Solution

The fourth proportional to 15,643.50, 23,465.00 and 3,797.37 is: 5,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.50 : 23,465.00 = 3,797.37 : x
  2. Step 2: Convert to fraction form
    15,643.50/23,465.00 = 3,797.37/x
  3. Step 3: Cross multiply
    15,643.50x = 23,465.00 × 3,797.37
  4. Step 4: Simplify right side
    15,643.50x = 89,105,296.54
  5. Step 5: Solve for x
    x = 89,105,296.54/15,643.50
  6. Step 6: Final answer
    x = 5,695.99

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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.