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Finding the Fourth Proportional to 18,664.54, 27,986.28 and 6,973

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Solution

The fourth proportional to 18,664.54, 27,986.28 and 6,973 is: 10,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664.54 : 27,986.28 = 6,973 : x
  2. Step 2: Convert to fraction form
    18,664.54/27,986.28 = 6,973/x
  3. Step 3: Cross multiply
    18,664.54x = 27,986.28 × 6,973
  4. Step 4: Simplify right side
    18,664.54x = 195,148,330.44
  5. Step 5: Solve for x
    x = 195,148,330.44/18,664.54
  6. Step 6: Final answer
    x = 10,455.57

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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.