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Finding the Fourth Proportional to 12,457.45, 18,675.98 and 5,798.09

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Solution

The fourth proportional to 12,457.45, 18,675.98 and 5,798.09 is: 8,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.45 : 18,675.98 = 5,798.09 : x
  2. Step 2: Convert to fraction form
    12,457.45/18,675.98 = 5,798.09/x
  3. Step 3: Cross multiply
    12,457.45x = 18,675.98 × 5,798.09
  4. Step 4: Simplify right side
    12,457.45x = 108,285,012.88
  5. Step 5: Solve for x
    x = 108,285,012.88/12,457.45
  6. Step 6: Final answer
    x = 8,692.39

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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.