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Finding the Fourth Proportional to 12,683.67, 17,504.13 and 7,306.93

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Solution

The fourth proportional to 12,683.67, 17,504.13 and 7,306.93 is: 10,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.67 : 17,504.13 = 7,306.93 : x
  2. Step 2: Convert to fraction form
    12,683.67/17,504.13 = 7,306.93/x
  3. Step 3: Cross multiply
    12,683.67x = 17,504.13 × 7,306.93
  4. Step 4: Simplify right side
    12,683.67x = 127,901,452.62
  5. Step 5: Solve for x
    x = 127,901,452.62/12,683.67
  6. Step 6: Final answer
    x = 10,083.95

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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.