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Finding the Fourth Proportional to 13,819.68, 19,071.18 and 7,851.36

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Solution

The fourth proportional to 13,819.68, 19,071.18 and 7,851.36 is: 10,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.68 : 19,071.18 = 7,851.36 : x
  2. Step 2: Convert to fraction form
    13,819.68/19,071.18 = 7,851.36/x
  3. Step 3: Cross multiply
    13,819.68x = 19,071.18 × 7,851.36
  4. Step 4: Simplify right side
    13,819.68x = 149,734,699.80
  5. Step 5: Solve for x
    x = 149,734,699.80/13,819.68
  6. Step 6: Final answer
    x = 10,834.89

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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.