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Finding the Fourth Proportional to 21,408.57, 32,065.34 and 16,441.65

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Solution

The fourth proportional to 21,408.57, 32,065.34 and 16,441.65 is: 24,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.57 : 32,065.34 = 16,441.65 : x
  2. Step 2: Convert to fraction form
    21,408.57/32,065.34 = 16,441.65/x
  3. Step 3: Cross multiply
    21,408.57x = 32,065.34 × 16,441.65
  4. Step 4: Simplify right side
    21,408.57x = 527,207,015.20
  5. Step 5: Solve for x
    x = 527,207,015.20/21,408.57
  6. Step 6: Final answer
    x = 24,625.98

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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.