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Finding the Fourth Proportional to 23,878.56, 35,817.02 and 8,295.78

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Solution

The fourth proportional to 23,878.56, 35,817.02 and 8,295.78 is: 12,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.56 : 35,817.02 = 8,295.78 : x
  2. Step 2: Convert to fraction form
    23,878.56/35,817.02 = 8,295.78/x
  3. Step 3: Cross multiply
    23,878.56x = 35,817.02 × 8,295.78
  4. Step 4: Simplify right side
    23,878.56x = 297,130,118.18
  5. Step 5: Solve for x
    x = 297,130,118.18/23,878.56
  6. Step 6: Final answer
    x = 12,443.39

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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.