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Finding the Fourth Proportional to 13,940.90, 20,911.35 and 9,785.60

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Solution

The fourth proportional to 13,940.90, 20,911.35 and 9,785.60 is: 14,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.90 : 20,911.35 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    13,940.90/20,911.35 = 9,785.60/x
  3. Step 3: Cross multiply
    13,940.90x = 20,911.35 × 9,785.60
  4. Step 4: Simplify right side
    13,940.90x = 204,630,106.56
  5. Step 5: Solve for x
    x = 204,630,106.56/13,940.90
  6. Step 6: Final answer
    x = 14,678.40

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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.