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Finding the Fourth Proportional to 13,020.30, 17,964.39 and 8,300.70

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Solution

The fourth proportional to 13,020.30, 17,964.39 and 8,300.70 is: 11,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.30 : 17,964.39 = 8,300.70 : x
  2. Step 2: Convert to fraction form
    13,020.30/17,964.39 = 8,300.70/x
  3. Step 3: Cross multiply
    13,020.30x = 17,964.39 × 8,300.70
  4. Step 4: Simplify right side
    13,020.30x = 149,117,012.07
  5. Step 5: Solve for x
    x = 149,117,012.07/13,020.30
  6. Step 6: Final answer
    x = 11,452.66

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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.