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Finding the Fourth Proportional to 14,970.81, 20,662.46 and 8,683.19

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Solution

The fourth proportional to 14,970.81, 20,662.46 and 8,683.19 is: 11,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.81 : 20,662.46 = 8,683.19 : x
  2. Step 2: Convert to fraction form
    14,970.81/20,662.46 = 8,683.19/x
  3. Step 3: Cross multiply
    14,970.81x = 20,662.46 × 8,683.19
  4. Step 4: Simplify right side
    14,970.81x = 179,416,066.05
  5. Step 5: Solve for x
    x = 179,416,066.05/14,970.81
  6. Step 6: Final answer
    x = 11,984.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.