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Finding the Fourth Proportional to 21,782.58, 32,673.21 and 6,200.22

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Solution

The fourth proportional to 21,782.58, 32,673.21 and 6,200.22 is: 9,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.58 : 32,673.21 = 6,200.22 : x
  2. Step 2: Convert to fraction form
    21,782.58/32,673.21 = 6,200.22/x
  3. Step 3: Cross multiply
    21,782.58x = 32,673.21 × 6,200.22
  4. Step 4: Simplify right side
    21,782.58x = 202,581,090.11
  5. Step 5: Solve for x
    x = 202,581,090.11/21,782.58
  6. Step 6: Final answer
    x = 9,300.14

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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.