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Finding the Fourth Proportional to 19,536.80, 29,313.44 and 7,847.20

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Solution

The fourth proportional to 19,536.80, 29,313.44 and 7,847.20 is: 11,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.80 : 29,313.44 = 7,847.20 : x
  2. Step 2: Convert to fraction form
    19,536.80/29,313.44 = 7,847.20/x
  3. Step 3: Cross multiply
    19,536.80x = 29,313.44 × 7,847.20
  4. Step 4: Simplify right side
    19,536.80x = 230,028,426.37
  5. Step 5: Solve for x
    x = 230,028,426.37/19,536.80
  6. Step 6: Final answer
    x = 11,774.11

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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.