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Finding the Fourth Proportional to 13,567.68, 20,338.56 and 8,622

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Solution

The fourth proportional to 13,567.68, 20,338.56 and 8,622 is: 12,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.68 : 20,338.56 = 8,622 : x
  2. Step 2: Convert to fraction form
    13,567.68/20,338.56 = 8,622/x
  3. Step 3: Cross multiply
    13,567.68x = 20,338.56 × 8,622
  4. Step 4: Simplify right side
    13,567.68x = 175,359,064.32
  5. Step 5: Solve for x
    x = 175,359,064.32/13,567.68
  6. Step 6: Final answer
    x = 12,924.76

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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.