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Finding the Fourth Proportional to 18,483, 27,724.44 and 4,632

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Solution

The fourth proportional to 18,483, 27,724.44 and 4,632 is: 6,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483 : 27,724.44 = 4,632 : x
  2. Step 2: Convert to fraction form
    18,483/27,724.44 = 4,632/x
  3. Step 3: Cross multiply
    18,483x = 27,724.44 × 4,632
  4. Step 4: Simplify right side
    18,483x = 128,419,606.08
  5. Step 5: Solve for x
    x = 128,419,606.08/18,483
  6. Step 6: Final answer
    x = 6,947.98

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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.