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Finding the Fourth Proportional to 18,653.49, 27,980.24 and 12,792.33

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Solution

The fourth proportional to 18,653.49, 27,980.24 and 12,792.33 is: 19,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.49 : 27,980.24 = 12,792.33 : x
  2. Step 2: Convert to fraction form
    18,653.49/27,980.24 = 12,792.33/x
  3. Step 3: Cross multiply
    18,653.49x = 27,980.24 × 12,792.33
  4. Step 4: Simplify right side
    18,653.49x = 357,932,399.60
  5. Step 5: Solve for x
    x = 357,932,399.60/18,653.49
  6. Step 6: Final answer
    x = 19,188.50

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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.