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Finding the Fourth Proportional to 13,977.19, 20,933.38 and 8,418.39

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Solution

The fourth proportional to 13,977.19, 20,933.38 and 8,418.39 is: 12,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.19 : 20,933.38 = 8,418.39 : x
  2. Step 2: Convert to fraction form
    13,977.19/20,933.38 = 8,418.39/x
  3. Step 3: Cross multiply
    13,977.19x = 20,933.38 × 8,418.39
  4. Step 4: Simplify right side
    13,977.19x = 176,225,356.86
  5. Step 5: Solve for x
    x = 176,225,356.86/13,977.19
  6. Step 6: Final answer
    x = 12,608.07

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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.