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Finding the Fourth Proportional to 19,536.12, 29,305.08 and 5,685.12

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Solution

The fourth proportional to 19,536.12, 29,305.08 and 5,685.12 is: 8,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.12 : 29,305.08 = 5,685.12 : x
  2. Step 2: Convert to fraction form
    19,536.12/29,305.08 = 5,685.12/x
  3. Step 3: Cross multiply
    19,536.12x = 29,305.08 × 5,685.12
  4. Step 4: Simplify right side
    19,536.12x = 166,602,896.41
  5. Step 5: Solve for x
    x = 166,602,896.41/19,536.12
  6. Step 6: Final answer
    x = 8,527.94

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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.