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Finding the Fourth Proportional to 13,019.40, 17,969.10 and 7,716.84

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Solution

The fourth proportional to 13,019.40, 17,969.10 and 7,716.84 is: 10,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.40 : 17,969.10 = 7,716.84 : x
  2. Step 2: Convert to fraction form
    13,019.40/17,969.10 = 7,716.84/x
  3. Step 3: Cross multiply
    13,019.40x = 17,969.10 × 7,716.84
  4. Step 4: Simplify right side
    13,019.40x = 138,664,669.64
  5. Step 5: Solve for x
    x = 138,664,669.64/13,019.40
  6. Step 6: Final answer
    x = 10,650.62

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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.