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Finding the Fourth Proportional to 13,863.02, 19,152.68 and 13,180.25

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Solution

The fourth proportional to 13,863.02, 19,152.68 and 13,180.25 is: 18,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.02 : 19,152.68 = 13,180.25 : x
  2. Step 2: Convert to fraction form
    13,863.02/19,152.68 = 13,180.25/x
  3. Step 3: Cross multiply
    13,863.02x = 19,152.68 × 13,180.25
  4. Step 4: Simplify right side
    13,863.02x = 252,437,092.55
  5. Step 5: Solve for x
    x = 252,437,092.55/13,863.02
  6. Step 6: Final answer
    x = 18,209.39

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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.