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Finding the Fourth Proportional to 19,536.33, 29,315.43 and 7,857.75

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Solution

The fourth proportional to 19,536.33, 29,315.43 and 7,857.75 is: 11,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.33 : 29,315.43 = 7,857.75 : x
  2. Step 2: Convert to fraction form
    19,536.33/29,315.43 = 7,857.75/x
  3. Step 3: Cross multiply
    19,536.33x = 29,315.43 × 7,857.75
  4. Step 4: Simplify right side
    19,536.33x = 230,353,320.08
  5. Step 5: Solve for x
    x = 230,353,320.08/19,536.33
  6. Step 6: Final answer
    x = 11,791.02

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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.