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Finding the Fourth Proportional to 22,627.90, 33,929.46 and 7,835.56

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Solution

The fourth proportional to 22,627.90, 33,929.46 and 7,835.56 is: 11,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.90 : 33,929.46 = 7,835.56 : x
  2. Step 2: Convert to fraction form
    22,627.90/33,929.46 = 7,835.56/x
  3. Step 3: Cross multiply
    22,627.90x = 33,929.46 × 7,835.56
  4. Step 4: Simplify right side
    22,627.90x = 265,856,319.60
  5. Step 5: Solve for x
    x = 265,856,319.60/22,627.90
  6. Step 6: Final answer
    x = 11,749.05

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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.