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Finding the Fourth Proportional to 13,977.45, 20,976.72 and 7,405.11

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Solution

The fourth proportional to 13,977.45, 20,976.72 and 7,405.11 is: 11,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.45 : 20,976.72 = 7,405.11 : x
  2. Step 2: Convert to fraction form
    13,977.45/20,976.72 = 7,405.11/x
  3. Step 3: Cross multiply
    13,977.45x = 20,976.72 × 7,405.11
  4. Step 4: Simplify right side
    13,977.45x = 155,334,919.04
  5. Step 5: Solve for x
    x = 155,334,919.04/13,977.45
  6. Step 6: Final answer
    x = 11,113.25

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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.