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Finding the Fourth Proportional to 13,539.75, 20,311.57 and 4,180.57

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Solution

The fourth proportional to 13,539.75, 20,311.57 and 4,180.57 is: 6,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.75 : 20,311.57 = 4,180.57 : x
  2. Step 2: Convert to fraction form
    13,539.75/20,311.57 = 4,180.57/x
  3. Step 3: Cross multiply
    13,539.75x = 20,311.57 × 4,180.57
  4. Step 4: Simplify right side
    13,539.75x = 84,913,888.35
  5. Step 5: Solve for x
    x = 84,913,888.35/13,539.75
  6. Step 6: Final answer
    x = 6,271.45

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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.