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Finding the Fourth Proportional to 33,004.84, 45,546.59 and 17,897.46

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Solution

The fourth proportional to 33,004.84, 45,546.59 and 17,897.46 is: 24,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.84 : 45,546.59 = 17,897.46 : x
  2. Step 2: Convert to fraction form
    33,004.84/45,546.59 = 17,897.46/x
  3. Step 3: Cross multiply
    33,004.84x = 45,546.59 × 17,897.46
  4. Step 4: Simplify right side
    33,004.84x = 815,168,121.44
  5. Step 5: Solve for x
    x = 815,168,121.44/33,004.84
  6. Step 6: Final answer
    x = 24,698.44

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