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Finding the Fourth Proportional to 12,683.39, 17,519.09 and 9,692.46

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Solution

The fourth proportional to 12,683.39, 17,519.09 and 9,692.46 is: 13,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.39 : 17,519.09 = 9,692.46 : x
  2. Step 2: Convert to fraction form
    12,683.39/17,519.09 = 9,692.46/x
  3. Step 3: Cross multiply
    12,683.39x = 17,519.09 × 9,692.46
  4. Step 4: Simplify right side
    12,683.39x = 169,803,030.60
  5. Step 5: Solve for x
    x = 169,803,030.60/12,683.39
  6. Step 6: Final answer
    x = 13,387.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.