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Finding the Fourth Proportional to 13,660.25, 20,467.73 and 8,307.24

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Solution

The fourth proportional to 13,660.25, 20,467.73 and 8,307.24 is: 12,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.25 : 20,467.73 = 8,307.24 : x
  2. Step 2: Convert to fraction form
    13,660.25/20,467.73 = 8,307.24/x
  3. Step 3: Cross multiply
    13,660.25x = 20,467.73 × 8,307.24
  4. Step 4: Simplify right side
    13,660.25x = 170,030,352.36
  5. Step 5: Solve for x
    x = 170,030,352.36/13,660.25
  6. Step 6: Final answer
    x = 12,447.08

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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.