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Finding the Fourth Proportional to 23,203.98, 34,805.90 and 8,412.86

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Solution

The fourth proportional to 23,203.98, 34,805.90 and 8,412.86 is: 12,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.98 : 34,805.90 = 8,412.86 : x
  2. Step 2: Convert to fraction form
    23,203.98/34,805.90 = 8,412.86/x
  3. Step 3: Cross multiply
    23,203.98x = 34,805.90 × 8,412.86
  4. Step 4: Simplify right side
    23,203.98x = 292,817,163.87
  5. Step 5: Solve for x
    x = 292,817,163.87/23,203.98
  6. Step 6: Final answer
    x = 12,619.26

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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.