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Finding the Fourth Proportional to 21,578.40, 29,779.20 and 13,080.78

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Solution

The fourth proportional to 21,578.40, 29,779.20 and 13,080.78 is: 18,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.40 : 29,779.20 = 13,080.78 : x
  2. Step 2: Convert to fraction form
    21,578.40/29,779.20 = 13,080.78/x
  3. Step 3: Cross multiply
    21,578.40x = 29,779.20 × 13,080.78
  4. Step 4: Simplify right side
    21,578.40x = 389,535,163.78
  5. Step 5: Solve for x
    x = 389,535,163.78/21,578.40
  6. Step 6: Final answer
    x = 18,052.09

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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.