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Finding the Fourth Proportional to 21,507.67, 32,227.44 and 16,589.35

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Solution

The fourth proportional to 21,507.67, 32,227.44 and 16,589.35 is: 24,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.67 : 32,227.44 = 16,589.35 : x
  2. Step 2: Convert to fraction form
    21,507.67/32,227.44 = 16,589.35/x
  3. Step 3: Cross multiply
    21,507.67x = 32,227.44 × 16,589.35
  4. Step 4: Simplify right side
    21,507.67x = 534,632,281.76
  5. Step 5: Solve for x
    x = 534,632,281.76/21,507.67
  6. Step 6: Final answer
    x = 24,857.75

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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.