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Finding the Fourth Proportional to 12,461.77, 18,692.58 and 3,101.74

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Solution

The fourth proportional to 12,461.77, 18,692.58 and 3,101.74 is: 4,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.77 : 18,692.58 = 3,101.74 : x
  2. Step 2: Convert to fraction form
    12,461.77/18,692.58 = 3,101.74/x
  3. Step 3: Cross multiply
    12,461.77x = 18,692.58 × 3,101.74
  4. Step 4: Simplify right side
    12,461.77x = 57,979,523.09
  5. Step 5: Solve for x
    x = 57,979,523.09/12,461.77
  6. Step 6: Final answer
    x = 4,652.59

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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.