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Finding the Fourth Proportional to 13,169.80, 19,722.30 and 10,577.80

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Solution

The fourth proportional to 13,169.80, 19,722.30 and 10,577.80 is: 15,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.80 : 19,722.30 = 10,577.80 : x
  2. Step 2: Convert to fraction form
    13,169.80/19,722.30 = 10,577.80/x
  3. Step 3: Cross multiply
    13,169.80x = 19,722.30 × 10,577.80
  4. Step 4: Simplify right side
    13,169.80x = 208,618,544.94
  5. Step 5: Solve for x
    x = 208,618,544.94/13,169.80
  6. Step 6: Final answer
    x = 15,840.68

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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.