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Finding the Fourth Proportional to 23,004.48, 31,745.04 and 12,933.36

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Solution

The fourth proportional to 23,004.48, 31,745.04 and 12,933.36 is: 17,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.48 : 31,745.04 = 12,933.36 : x
  2. Step 2: Convert to fraction form
    23,004.48/31,745.04 = 12,933.36/x
  3. Step 3: Cross multiply
    23,004.48x = 31,745.04 × 12,933.36
  4. Step 4: Simplify right side
    23,004.48x = 410,570,030.53
  5. Step 5: Solve for x
    x = 410,570,030.53/23,004.48
  6. Step 6: Final answer
    x = 17,847.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.