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Finding the Fourth Proportional to 13,969.68, 19,277.82 and 7,596.12

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Solution

The fourth proportional to 13,969.68, 19,277.82 and 7,596.12 is: 10,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.68 : 19,277.82 = 7,596.12 : x
  2. Step 2: Convert to fraction form
    13,969.68/19,277.82 = 7,596.12/x
  3. Step 3: Cross multiply
    13,969.68x = 19,277.82 × 7,596.12
  4. Step 4: Simplify right side
    13,969.68x = 146,436,634.06
  5. Step 5: Solve for x
    x = 146,436,634.06/13,969.68
  6. Step 6: Final answer
    x = 10,482.46

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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.