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Finding the Fourth Proportional to 13,119.32, 19,675.40 and 7,850.19

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Solution

The fourth proportional to 13,119.32, 19,675.40 and 7,850.19 is: 11,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.32 : 19,675.40 = 7,850.19 : x
  2. Step 2: Convert to fraction form
    13,119.32/19,675.40 = 7,850.19/x
  3. Step 3: Cross multiply
    13,119.32x = 19,675.40 × 7,850.19
  4. Step 4: Simplify right side
    13,119.32x = 154,455,589.08
  5. Step 5: Solve for x
    x = 154,455,589.08/13,119.32
  6. Step 6: Final answer
    x = 11,773.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.