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Finding the Fourth Proportional to 21,082.68, 31,624.02 and 12,312.81

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Solution

The fourth proportional to 21,082.68, 31,624.02 and 12,312.81 is: 18,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.68 : 31,624.02 = 12,312.81 : x
  2. Step 2: Convert to fraction form
    21,082.68/31,624.02 = 12,312.81/x
  3. Step 3: Cross multiply
    21,082.68x = 31,624.02 × 12,312.81
  4. Step 4: Simplify right side
    21,082.68x = 389,380,549.70
  5. Step 5: Solve for x
    x = 389,380,549.70/21,082.68
  6. Step 6: Final answer
    x = 18,469.22

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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.