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Finding the Fourth Proportional to 16,213.20, 24,271.20 and 14,463.60

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Solution

The fourth proportional to 16,213.20, 24,271.20 and 14,463.60 is: 21,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.20 : 24,271.20 = 14,463.60 : x
  2. Step 2: Convert to fraction form
    16,213.20/24,271.20 = 14,463.60/x
  3. Step 3: Cross multiply
    16,213.20x = 24,271.20 × 14,463.60
  4. Step 4: Simplify right side
    16,213.20x = 351,048,928.32
  5. Step 5: Solve for x
    x = 351,048,928.32/16,213.20
  6. Step 6: Final answer
    x = 21,652.04

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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.