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Finding the Fourth Proportional to 13,819.75, 19,071.26 and 7,532.13

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Solution

The fourth proportional to 13,819.75, 19,071.26 and 7,532.13 is: 10,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.75 : 19,071.26 = 7,532.13 : x
  2. Step 2: Convert to fraction form
    13,819.75/19,071.26 = 7,532.13/x
  3. Step 3: Cross multiply
    13,819.75x = 19,071.26 × 7,532.13
  4. Step 4: Simplify right side
    13,819.75x = 143,647,209.58
  5. Step 5: Solve for x
    x = 143,647,209.58/13,819.75
  6. Step 6: Final answer
    x = 10,394.34

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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.