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Finding the Fourth Proportional to 21,589.11, 32,388.02 and 9,109.16

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Solution

The fourth proportional to 21,589.11, 32,388.02 and 9,109.16 is: 13,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.11 : 32,388.02 = 9,109.16 : x
  2. Step 2: Convert to fraction form
    21,589.11/32,388.02 = 9,109.16/x
  3. Step 3: Cross multiply
    21,589.11x = 32,388.02 × 9,109.16
  4. Step 4: Simplify right side
    21,589.11x = 295,027,656.26
  5. Step 5: Solve for x
    x = 295,027,656.26/21,589.11
  6. Step 6: Final answer
    x = 13,665.58

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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.