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Finding the Fourth Proportional to 12,819.58, 19,229.23 and 4,054.50

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Solution

The fourth proportional to 12,819.58, 19,229.23 and 4,054.50 is: 6,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.58 : 19,229.23 = 4,054.50 : x
  2. Step 2: Convert to fraction form
    12,819.58/19,229.23 = 4,054.50/x
  3. Step 3: Cross multiply
    12,819.58x = 19,229.23 × 4,054.50
  4. Step 4: Simplify right side
    12,819.58x = 77,964,913.04
  5. Step 5: Solve for x
    x = 77,964,913.04/12,819.58
  6. Step 6: Final answer
    x = 6,081.71

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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.