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Finding the Fourth Proportional to 13,635.40, 20,438.14 and 7,779.24

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Solution

The fourth proportional to 13,635.40, 20,438.14 and 7,779.24 is: 11,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.40 : 20,438.14 = 7,779.24 : x
  2. Step 2: Convert to fraction form
    13,635.40/20,438.14 = 7,779.24/x
  3. Step 3: Cross multiply
    13,635.40x = 20,438.14 × 7,779.24
  4. Step 4: Simplify right side
    13,635.40x = 158,993,196.21
  5. Step 5: Solve for x
    x = 158,993,196.21/13,635.40
  6. Step 6: Final answer
    x = 11,660.33

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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.