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Finding the Fourth Proportional to 23,051.28, 34,578.31 and 7,256.83

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Solution

The fourth proportional to 23,051.28, 34,578.31 and 7,256.83 is: 10,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.28 : 34,578.31 = 7,256.83 : x
  2. Step 2: Convert to fraction form
    23,051.28/34,578.31 = 7,256.83/x
  3. Step 3: Cross multiply
    23,051.28x = 34,578.31 × 7,256.83
  4. Step 4: Simplify right side
    23,051.28x = 250,928,917.36
  5. Step 5: Solve for x
    x = 250,928,917.36/23,051.28
  6. Step 6: Final answer
    x = 10,885.68

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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.