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Finding the Fourth Proportional to 13,559.61, 20,323.80 and 5,235.96

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Solution

The fourth proportional to 13,559.61, 20,323.80 and 5,235.96 is: 7,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.61 : 20,323.80 = 5,235.96 : x
  2. Step 2: Convert to fraction form
    13,559.61/20,323.80 = 5,235.96/x
  3. Step 3: Cross multiply
    13,559.61x = 20,323.80 × 5,235.96
  4. Step 4: Simplify right side
    13,559.61x = 106,414,603.85
  5. Step 5: Solve for x
    x = 106,414,603.85/13,559.61
  6. Step 6: Final answer
    x = 7,847.91

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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.