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Finding the Fourth Proportional to 15,993, 23,993.06 and 4,901.24

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Solution

The fourth proportional to 15,993, 23,993.06 and 4,901.24 is: 7,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993 : 23,993.06 = 4,901.24 : x
  2. Step 2: Convert to fraction form
    15,993/23,993.06 = 4,901.24/x
  3. Step 3: Cross multiply
    15,993x = 23,993.06 × 4,901.24
  4. Step 4: Simplify right side
    15,993x = 117,595,745.39
  5. Step 5: Solve for x
    x = 117,595,745.39/15,993
  6. Step 6: Final answer
    x = 7,352.95

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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.