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Finding the Fourth Proportional to 12,959.83, 19,441.80 and 4,074.46

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Solution

The fourth proportional to 12,959.83, 19,441.80 and 4,074.46 is: 6,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.83 : 19,441.80 = 4,074.46 : x
  2. Step 2: Convert to fraction form
    12,959.83/19,441.80 = 4,074.46/x
  3. Step 3: Cross multiply
    12,959.83x = 19,441.80 × 4,074.46
  4. Step 4: Simplify right side
    12,959.83x = 79,214,836.43
  5. Step 5: Solve for x
    x = 79,214,836.43/12,959.83
  6. Step 6: Final answer
    x = 6,112.34

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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.