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Finding the Fourth Proportional to 25,343.26, 38,007.38 and 9,536.82

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Solution

The fourth proportional to 25,343.26, 38,007.38 and 9,536.82 is: 14,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.26 : 38,007.38 = 9,536.82 : x
  2. Step 2: Convert to fraction form
    25,343.26/38,007.38 = 9,536.82/x
  3. Step 3: Cross multiply
    25,343.26x = 38,007.38 × 9,536.82
  4. Step 4: Simplify right side
    25,343.26x = 362,469,541.73
  5. Step 5: Solve for x
    x = 362,469,541.73/25,343.26
  6. Step 6: Final answer
    x = 14,302.40

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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.