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Finding the Fourth Proportional to 21,621.50, 32,408.55 and 8,459.40

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Solution

The fourth proportional to 21,621.50, 32,408.55 and 8,459.40 is: 12,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621.50 : 32,408.55 = 8,459.40 : x
  2. Step 2: Convert to fraction form
    21,621.50/32,408.55 = 8,459.40/x
  3. Step 3: Cross multiply
    21,621.50x = 32,408.55 × 8,459.40
  4. Step 4: Simplify right side
    21,621.50x = 274,156,887.87
  5. Step 5: Solve for x
    x = 274,156,887.87/21,621.50
  6. Step 6: Final answer
    x = 12,679.83

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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.