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Finding the Fourth Proportional to 13,362, 18,380.84 and 12,822.54

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Solution

The fourth proportional to 13,362, 18,380.84 and 12,822.54 is: 17,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362 : 18,380.84 = 12,822.54 : x
  2. Step 2: Convert to fraction form
    13,362/18,380.84 = 12,822.54/x
  3. Step 3: Cross multiply
    13,362x = 18,380.84 × 12,822.54
  4. Step 4: Simplify right side
    13,362x = 235,689,056.13
  5. Step 5: Solve for x
    x = 235,689,056.13/13,362
  6. Step 6: Final answer
    x = 17,638.76

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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.