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Finding the Fourth Proportional to 13,142.16, 19,713.60 and 3,782.88

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Solution

The fourth proportional to 13,142.16, 19,713.60 and 3,782.88 is: 5,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.16 : 19,713.60 = 3,782.88 : x
  2. Step 2: Convert to fraction form
    13,142.16/19,713.60 = 3,782.88/x
  3. Step 3: Cross multiply
    13,142.16x = 19,713.60 × 3,782.88
  4. Step 4: Simplify right side
    13,142.16x = 74,574,183.17
  5. Step 5: Solve for x
    x = 74,574,183.17/13,142.16
  6. Step 6: Final answer
    x = 5,674.42

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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.