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Finding the Fourth Proportional to 33,714.63, 50,580.14 and 11,225.25

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Solution

The fourth proportional to 33,714.63, 50,580.14 and 11,225.25 is: 16,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.63 : 50,580.14 = 11,225.25 : x
  2. Step 2: Convert to fraction form
    33,714.63/50,580.14 = 11,225.25/x
  3. Step 3: Cross multiply
    33,714.63x = 50,580.14 × 11,225.25
  4. Step 4: Simplify right side
    33,714.63x = 567,774,716.54
  5. Step 5: Solve for x
    x = 567,774,716.54/33,714.63
  6. Step 6: Final answer
    x = 16,840.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.