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Finding the Fourth Proportional to 12,461.40, 18,692.28 and 3,696.12

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Solution

The fourth proportional to 12,461.40, 18,692.28 and 3,696.12 is: 5,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.40 : 18,692.28 = 3,696.12 : x
  2. Step 2: Convert to fraction form
    12,461.40/18,692.28 = 3,696.12/x
  3. Step 3: Cross multiply
    12,461.40x = 18,692.28 × 3,696.12
  4. Step 4: Simplify right side
    12,461.40x = 69,088,909.95
  5. Step 5: Solve for x
    x = 69,088,909.95/12,461.40
  6. Step 6: Final answer
    x = 5,544.23

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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.