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Finding the Fourth Proportional to 13,205.16, 19,805.58 and 3,969

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Solution

The fourth proportional to 13,205.16, 19,805.58 and 3,969 is: 5,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.16 : 19,805.58 = 3,969 : x
  2. Step 2: Convert to fraction form
    13,205.16/19,805.58 = 3,969/x
  3. Step 3: Cross multiply
    13,205.16x = 19,805.58 × 3,969
  4. Step 4: Simplify right side
    13,205.16x = 78,608,347.02
  5. Step 5: Solve for x
    x = 78,608,347.02/13,205.16
  6. Step 6: Final answer
    x = 5,952.85

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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.