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Finding the Fourth Proportional to 21,775.64, 32,668.85 and 6,193.13

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Solution

The fourth proportional to 21,775.64, 32,668.85 and 6,193.13 is: 9,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.64 : 32,668.85 = 6,193.13 : x
  2. Step 2: Convert to fraction form
    21,775.64/32,668.85 = 6,193.13/x
  3. Step 3: Cross multiply
    21,775.64x = 32,668.85 × 6,193.13
  4. Step 4: Simplify right side
    21,775.64x = 202,322,287.14
  5. Step 5: Solve for x
    x = 202,322,287.14/21,775.64
  6. Step 6: Final answer
    x = 9,291.22

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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.