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Finding the Fourth Proportional to 22,492.82, 33,735.76 and 7,698.34

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Solution

The fourth proportional to 22,492.82, 33,735.76 and 7,698.34 is: 11,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.82 : 33,735.76 = 7,698.34 : x
  2. Step 2: Convert to fraction form
    22,492.82/33,735.76 = 7,698.34/x
  3. Step 3: Cross multiply
    22,492.82x = 33,735.76 × 7,698.34
  4. Step 4: Simplify right side
    22,492.82x = 259,709,143.47
  5. Step 5: Solve for x
    x = 259,709,143.47/22,492.82
  6. Step 6: Final answer
    x = 11,546.32

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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.