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Finding the Fourth Proportional to 15,993, 23,991.48 and 5,464.08

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Solution

The fourth proportional to 15,993, 23,991.48 and 5,464.08 is: 8,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993 : 23,991.48 = 5,464.08 : x
  2. Step 2: Convert to fraction form
    15,993/23,991.48 = 5,464.08/x
  3. Step 3: Cross multiply
    15,993x = 23,991.48 × 5,464.08
  4. Step 4: Simplify right side
    15,993x = 131,091,366.04
  5. Step 5: Solve for x
    x = 131,091,366.04/15,993
  6. Step 6: Final answer
    x = 8,196.80

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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.