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Finding the Fourth Proportional to 13,763.90, 18,993.66 and 7,476.14

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Solution

The fourth proportional to 13,763.90, 18,993.66 and 7,476.14 is: 10,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.90 : 18,993.66 = 7,476.14 : x
  2. Step 2: Convert to fraction form
    13,763.90/18,993.66 = 7,476.14/x
  3. Step 3: Cross multiply
    13,763.90x = 18,993.66 × 7,476.14
  4. Step 4: Simplify right side
    13,763.90x = 141,999,166.30
  5. Step 5: Solve for x
    x = 141,999,166.30/13,763.90
  6. Step 6: Final answer
    x = 10,316.79

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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.