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Finding the Fourth Proportional to 13,718.60, 20,563.08 and 6,683.09

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Solution

The fourth proportional to 13,718.60, 20,563.08 and 6,683.09 is: 10,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.60 : 20,563.08 = 6,683.09 : x
  2. Step 2: Convert to fraction form
    13,718.60/20,563.08 = 6,683.09/x
  3. Step 3: Cross multiply
    13,718.60x = 20,563.08 × 6,683.09
  4. Step 4: Simplify right side
    13,718.60x = 137,424,811.50
  5. Step 5: Solve for x
    x = 137,424,811.50/13,718.60
  6. Step 6: Final answer
    x = 10,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.