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Finding the Fourth Proportional to 23,042.30, 34,563.16 and 12,578.98

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Solution

The fourth proportional to 23,042.30, 34,563.16 and 12,578.98 is: 18,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.30 : 34,563.16 = 12,578.98 : x
  2. Step 2: Convert to fraction form
    23,042.30/34,563.16 = 12,578.98/x
  3. Step 3: Cross multiply
    23,042.30x = 34,563.16 × 12,578.98
  4. Step 4: Simplify right side
    23,042.30x = 434,769,221.74
  5. Step 5: Solve for x
    x = 434,769,221.74/23,042.30
  6. Step 6: Final answer
    x = 18,868.31

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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.