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Finding the Fourth Proportional to 13,485.99, 20,231.42 and 4,125.84

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Solution

The fourth proportional to 13,485.99, 20,231.42 and 4,125.84 is: 6,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.99 : 20,231.42 = 4,125.84 : x
  2. Step 2: Convert to fraction form
    13,485.99/20,231.42 = 4,125.84/x
  3. Step 3: Cross multiply
    13,485.99x = 20,231.42 × 4,125.84
  4. Step 4: Simplify right side
    13,485.99x = 83,471,528.60
  5. Step 5: Solve for x
    x = 83,471,528.60/13,485.99
  6. Step 6: Final answer
    x = 6,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.