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Finding the Fourth Proportional to 14,576.64, 21,861.72 and 4,189.20

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Solution

The fourth proportional to 14,576.64, 21,861.72 and 4,189.20 is: 6,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.64 : 21,861.72 = 4,189.20 : x
  2. Step 2: Convert to fraction form
    14,576.64/21,861.72 = 4,189.20/x
  3. Step 3: Cross multiply
    14,576.64x = 21,861.72 × 4,189.20
  4. Step 4: Simplify right side
    14,576.64x = 91,583,117.42
  5. Step 5: Solve for x
    x = 91,583,117.42/14,576.64
  6. Step 6: Final answer
    x = 6,282.87

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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.