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Finding the Fourth Proportional to 21,657.94, 32,486.92 and 7,628.36

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Solution

The fourth proportional to 21,657.94, 32,486.92 and 7,628.36 is: 11,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.94 : 32,486.92 = 7,628.36 : x
  2. Step 2: Convert to fraction form
    21,657.94/32,486.92 = 7,628.36/x
  3. Step 3: Cross multiply
    21,657.94x = 32,486.92 × 7,628.36
  4. Step 4: Simplify right side
    21,657.94x = 247,821,921.05
  5. Step 5: Solve for x
    x = 247,821,921.05/21,657.94
  6. Step 6: Final answer
    x = 11,442.54

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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.