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Finding the Fourth Proportional to 13,557, 20,339.58 and 5,766.42

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Solution

The fourth proportional to 13,557, 20,339.58 and 5,766.42 is: 8,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557 : 20,339.58 = 5,766.42 : x
  2. Step 2: Convert to fraction form
    13,557/20,339.58 = 5,766.42/x
  3. Step 3: Cross multiply
    13,557x = 20,339.58 × 5,766.42
  4. Step 4: Simplify right side
    13,557x = 117,286,560.90
  5. Step 5: Solve for x
    x = 117,286,560.90/13,557
  6. Step 6: Final answer
    x = 8,651.37

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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.