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Finding the Fourth Proportional to 21,589.80, 32,388.17 and 9,111.64

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Solution

The fourth proportional to 21,589.80, 32,388.17 and 9,111.64 is: 13,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.80 : 32,388.17 = 9,111.64 : x
  2. Step 2: Convert to fraction form
    21,589.80/32,388.17 = 9,111.64/x
  3. Step 3: Cross multiply
    21,589.80x = 32,388.17 × 9,111.64
  4. Step 4: Simplify right side
    21,589.80x = 295,109,345.30
  5. Step 5: Solve for x
    x = 295,109,345.30/21,589.80
  6. Step 6: Final answer
    x = 13,668.92

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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.