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Finding the Fourth Proportional to 13,819.12, 19,071.06 and 7,850.68

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Solution

The fourth proportional to 13,819.12, 19,071.06 and 7,850.68 is: 10,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.12 : 19,071.06 = 7,850.68 : x
  2. Step 2: Convert to fraction form
    13,819.12/19,071.06 = 7,850.68/x
  3. Step 3: Cross multiply
    13,819.12x = 19,071.06 × 7,850.68
  4. Step 4: Simplify right side
    13,819.12x = 149,720,789.32
  5. Step 5: Solve for x
    x = 149,720,789.32/13,819.12
  6. Step 6: Final answer
    x = 10,834.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.