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Finding the Fourth Proportional to 13,082.58, 18,050.80 and 8,300.78

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Solution

The fourth proportional to 13,082.58, 18,050.80 and 8,300.78 is: 11,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.58 : 18,050.80 = 8,300.78 : x
  2. Step 2: Convert to fraction form
    13,082.58/18,050.80 = 8,300.78/x
  3. Step 3: Cross multiply
    13,082.58x = 18,050.80 × 8,300.78
  4. Step 4: Simplify right side
    13,082.58x = 149,835,719.62
  5. Step 5: Solve for x
    x = 149,835,719.62/13,082.58
  6. Step 6: Final answer
    x = 11,453.07

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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.