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Finding the Fourth Proportional to 13,114.18, 19,679.46 and 5,322.99

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Solution

The fourth proportional to 13,114.18, 19,679.46 and 5,322.99 is: 7,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.18 : 19,679.46 = 5,322.99 : x
  2. Step 2: Convert to fraction form
    13,114.18/19,679.46 = 5,322.99/x
  3. Step 3: Cross multiply
    13,114.18x = 19,679.46 × 5,322.99
  4. Step 4: Simplify right side
    13,114.18x = 104,753,568.79
  5. Step 5: Solve for x
    x = 104,753,568.79/13,114.18
  6. Step 6: Final answer
    x = 7,987.81

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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.