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Finding the Fourth Proportional to 13,409.23, 20,114.01 and 4,049.35

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Solution

The fourth proportional to 13,409.23, 20,114.01 and 4,049.35 is: 6,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.23 : 20,114.01 = 4,049.35 : x
  2. Step 2: Convert to fraction form
    13,409.23/20,114.01 = 4,049.35/x
  3. Step 3: Cross multiply
    13,409.23x = 20,114.01 × 4,049.35
  4. Step 4: Simplify right side
    13,409.23x = 81,448,666.39
  5. Step 5: Solve for x
    x = 81,448,666.39/13,409.23
  6. Step 6: Final answer
    x = 6,074.07

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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.