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Finding the Fourth Proportional to 15,643.37, 23,474.78 and 6,409.37

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Solution

The fourth proportional to 15,643.37, 23,474.78 and 6,409.37 is: 9,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.37 : 23,474.78 = 6,409.37 : x
  2. Step 2: Convert to fraction form
    15,643.37/23,474.78 = 6,409.37/x
  3. Step 3: Cross multiply
    15,643.37x = 23,474.78 × 6,409.37
  4. Step 4: Simplify right side
    15,643.37x = 150,458,518.64
  5. Step 5: Solve for x
    x = 150,458,518.64/15,643.37
  6. Step 6: Final answer
    x = 9,618.04

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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.