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Finding the Fourth Proportional to 22,652, 33,978.16 and 13,285.48

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Solution

The fourth proportional to 22,652, 33,978.16 and 13,285.48 is: 19,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652 : 33,978.16 = 13,285.48 : x
  2. Step 2: Convert to fraction form
    22,652/33,978.16 = 13,285.48/x
  3. Step 3: Cross multiply
    22,652x = 33,978.16 × 13,285.48
  4. Step 4: Simplify right side
    22,652x = 451,416,165.12
  5. Step 5: Solve for x
    x = 451,416,165.12/22,652
  6. Step 6: Final answer
    x = 19,928.31

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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.