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Finding the Fourth Proportional to 14,683.92, 20,264 and 7,969.60

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Solution

The fourth proportional to 14,683.92, 20,264 and 7,969.60 is: 10,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.92 : 20,264 = 7,969.60 : x
  2. Step 2: Convert to fraction form
    14,683.92/20,264 = 7,969.60/x
  3. Step 3: Cross multiply
    14,683.92x = 20,264 × 7,969.60
  4. Step 4: Simplify right side
    14,683.92x = 161,495,974.40
  5. Step 5: Solve for x
    x = 161,495,974.40/14,683.92
  6. Step 6: Final answer
    x = 10,998.15

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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.