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Finding the Fourth Proportional to 19,536.50, 29,305.56 and 5,685.50

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Solution

The fourth proportional to 19,536.50, 29,305.56 and 5,685.50 is: 8,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.50 : 29,305.56 = 5,685.50 : x
  2. Step 2: Convert to fraction form
    19,536.50/29,305.56 = 5,685.50/x
  3. Step 3: Cross multiply
    19,536.50x = 29,305.56 × 5,685.50
  4. Step 4: Simplify right side
    19,536.50x = 166,616,761.38
  5. Step 5: Solve for x
    x = 166,616,761.38/19,536.50
  6. Step 6: Final answer
    x = 8,528.49

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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.