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Finding the Fourth Proportional to 12,461.69, 18,692.48 and 5,064.41

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Solution

The fourth proportional to 12,461.69, 18,692.48 and 5,064.41 is: 7,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.69 : 18,692.48 = 5,064.41 : x
  2. Step 2: Convert to fraction form
    12,461.69/18,692.48 = 5,064.41/x
  3. Step 3: Cross multiply
    12,461.69x = 18,692.48 × 5,064.41
  4. Step 4: Simplify right side
    12,461.69x = 94,666,263.85
  5. Step 5: Solve for x
    x = 94,666,263.85/12,461.69
  6. Step 6: Final answer
    x = 7,596.59

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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.