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Finding the Fourth Proportional to 23,265.72, 34,878.42 and 9,405.72

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Solution

The fourth proportional to 23,265.72, 34,878.42 and 9,405.72 is: 14,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.72 : 34,878.42 = 9,405.72 : x
  2. Step 2: Convert to fraction form
    23,265.72/34,878.42 = 9,405.72/x
  3. Step 3: Cross multiply
    23,265.72x = 34,878.42 × 9,405.72
  4. Step 4: Simplify right side
    23,265.72x = 328,056,652.56
  5. Step 5: Solve for x
    x = 328,056,652.56/23,265.72
  6. Step 6: Final answer
    x = 14,100.43

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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.