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Finding the Fourth Proportional to 13,369.13, 18,454.26 and 7,780.13

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Solution

The fourth proportional to 13,369.13, 18,454.26 and 7,780.13 is: 10,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.13 : 18,454.26 = 7,780.13 : x
  2. Step 2: Convert to fraction form
    13,369.13/18,454.26 = 7,780.13/x
  3. Step 3: Cross multiply
    13,369.13x = 18,454.26 × 7,780.13
  4. Step 4: Simplify right side
    13,369.13x = 143,576,449.58
  5. Step 5: Solve for x
    x = 143,576,449.58/13,369.13
  6. Step 6: Final answer
    x = 10,739.41

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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.