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Finding the Fourth Proportional to 19,829.36, 29,723.04 and 7,170.64

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Solution

The fourth proportional to 19,829.36, 29,723.04 and 7,170.64 is: 10,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.36 : 29,723.04 = 7,170.64 : x
  2. Step 2: Convert to fraction form
    19,829.36/29,723.04 = 7,170.64/x
  3. Step 3: Cross multiply
    19,829.36x = 29,723.04 × 7,170.64
  4. Step 4: Simplify right side
    19,829.36x = 213,133,219.55
  5. Step 5: Solve for x
    x = 213,133,219.55/19,829.36
  6. Step 6: Final answer
    x = 10,748.37

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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.