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Finding the Fourth Proportional to 13,082.07, 19,633.65 and 6,069.90

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Solution

The fourth proportional to 13,082.07, 19,633.65 and 6,069.90 is: 9,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.07 : 19,633.65 = 6,069.90 : x
  2. Step 2: Convert to fraction form
    13,082.07/19,633.65 = 6,069.90/x
  3. Step 3: Cross multiply
    13,082.07x = 19,633.65 × 6,069.90
  4. Step 4: Simplify right side
    13,082.07x = 119,174,292.14
  5. Step 5: Solve for x
    x = 119,174,292.14/13,082.07
  6. Step 6: Final answer
    x = 9,109.74

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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.