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Finding the Fourth Proportional to 12,619.72, 18,929.58 and 7,993

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Solution

The fourth proportional to 12,619.72, 18,929.58 and 7,993 is: 11,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.72 : 18,929.58 = 7,993 : x
  2. Step 2: Convert to fraction form
    12,619.72/18,929.58 = 7,993/x
  3. Step 3: Cross multiply
    12,619.72x = 18,929.58 × 7,993
  4. Step 4: Simplify right side
    12,619.72x = 151,304,132.94
  5. Step 5: Solve for x
    x = 151,304,132.94/12,619.72
  6. Step 6: Final answer
    x = 11,989.50

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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.