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Finding the Fourth Proportional to 13,683.67, 20,513.08 and 4,916.50

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Solution

The fourth proportional to 13,683.67, 20,513.08 and 4,916.50 is: 7,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.67 : 20,513.08 = 4,916.50 : x
  2. Step 2: Convert to fraction form
    13,683.67/20,513.08 = 4,916.50/x
  3. Step 3: Cross multiply
    13,683.67x = 20,513.08 × 4,916.50
  4. Step 4: Simplify right side
    13,683.67x = 100,852,557.82
  5. Step 5: Solve for x
    x = 100,852,557.82/13,683.67
  6. Step 6: Final answer
    x = 7,370.29

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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.