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Finding the Fourth Proportional to 13,739.19, 20,594.93 and 5,415.98

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Solution

The fourth proportional to 13,739.19, 20,594.93 and 5,415.98 is: 8,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.19 : 20,594.93 = 5,415.98 : x
  2. Step 2: Convert to fraction form
    13,739.19/20,594.93 = 5,415.98/x
  3. Step 3: Cross multiply
    13,739.19x = 20,594.93 × 5,415.98
  4. Step 4: Simplify right side
    13,739.19x = 111,541,794.01
  5. Step 5: Solve for x
    x = 111,541,794.01/13,739.19
  6. Step 6: Final answer
    x = 8,118.51

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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.