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Finding the Fourth Proportional to 13,419.30, 18,524.92 and 8,390.90

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Solution

The fourth proportional to 13,419.30, 18,524.92 and 8,390.90 is: 11,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.30 : 18,524.92 = 8,390.90 : x
  2. Step 2: Convert to fraction form
    13,419.30/18,524.92 = 8,390.90/x
  3. Step 3: Cross multiply
    13,419.30x = 18,524.92 × 8,390.90
  4. Step 4: Simplify right side
    13,419.30x = 155,440,782.95
  5. Step 5: Solve for x
    x = 155,440,782.95/13,419.30
  6. Step 6: Final answer
    x = 11,583.38

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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.