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Finding the Fourth Proportional to 14,861.87, 20,506.01 and 10,082.46

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Solution

The fourth proportional to 14,861.87, 20,506.01 and 10,082.46 is: 13,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.87 : 20,506.01 = 10,082.46 : x
  2. Step 2: Convert to fraction form
    14,861.87/20,506.01 = 10,082.46/x
  3. Step 3: Cross multiply
    14,861.87x = 20,506.01 × 10,082.46
  4. Step 4: Simplify right side
    14,861.87x = 206,750,975.17
  5. Step 5: Solve for x
    x = 206,750,975.17/14,861.87
  6. Step 6: Final answer
    x = 13,911.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.