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Finding the Fourth Proportional to 21,900.74, 32,850.63 and 7,109.63

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Solution

The fourth proportional to 21,900.74, 32,850.63 and 7,109.63 is: 10,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.74 : 32,850.63 = 7,109.63 : x
  2. Step 2: Convert to fraction form
    21,900.74/32,850.63 = 7,109.63/x
  3. Step 3: Cross multiply
    21,900.74x = 32,850.63 × 7,109.63
  4. Step 4: Simplify right side
    21,900.74x = 233,555,660.31
  5. Step 5: Solve for x
    x = 233,555,660.31/21,900.74
  6. Step 6: Final answer
    x = 10,664.28

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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.