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Finding the Fourth Proportional to 23,762.52, 35,643.60 and 6,232.08

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Solution

The fourth proportional to 23,762.52, 35,643.60 and 6,232.08 is: 9,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.52 : 35,643.60 = 6,232.08 : x
  2. Step 2: Convert to fraction form
    23,762.52/35,643.60 = 6,232.08/x
  3. Step 3: Cross multiply
    23,762.52x = 35,643.60 × 6,232.08
  4. Step 4: Simplify right side
    23,762.52x = 222,133,766.69
  5. Step 5: Solve for x
    x = 222,133,766.69/23,762.52
  6. Step 6: Final answer
    x = 9,348.07

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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.