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Finding the Fourth Proportional to 13,974.10, 20,959.55 and 5,209.30

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Solution

The fourth proportional to 13,974.10, 20,959.55 and 5,209.30 is: 7,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.10 : 20,959.55 = 5,209.30 : x
  2. Step 2: Convert to fraction form
    13,974.10/20,959.55 = 5,209.30/x
  3. Step 3: Cross multiply
    13,974.10x = 20,959.55 × 5,209.30
  4. Step 4: Simplify right side
    13,974.10x = 109,184,583.82
  5. Step 5: Solve for x
    x = 109,184,583.82/13,974.10
  6. Step 6: Final answer
    x = 7,813.35

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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.