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Finding the Fourth Proportional to 12,906.80, 19,360.20 and 4,596.20

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Solution

The fourth proportional to 12,906.80, 19,360.20 and 4,596.20 is: 6,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.80 : 19,360.20 = 4,596.20 : x
  2. Step 2: Convert to fraction form
    12,906.80/19,360.20 = 4,596.20/x
  3. Step 3: Cross multiply
    12,906.80x = 19,360.20 × 4,596.20
  4. Step 4: Simplify right side
    12,906.80x = 88,983,351.24
  5. Step 5: Solve for x
    x = 88,983,351.24/12,906.80
  6. Step 6: Final answer
    x = 6,894.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.