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Finding the Fourth Proportional to 13,916.84, 20,866.85 and 5,473.23

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Solution

The fourth proportional to 13,916.84, 20,866.85 and 5,473.23 is: 8,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.84 : 20,866.85 = 5,473.23 : x
  2. Step 2: Convert to fraction form
    13,916.84/20,866.85 = 5,473.23/x
  3. Step 3: Cross multiply
    13,916.84x = 20,866.85 × 5,473.23
  4. Step 4: Simplify right side
    13,916.84x = 114,209,042.06
  5. Step 5: Solve for x
    x = 114,209,042.06/13,916.84
  6. Step 6: Final answer
    x = 8,206.54

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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.