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Finding the Fourth Proportional to 12,683.39, 17,503.70 and 7,649.24

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Solution

The fourth proportional to 12,683.39, 17,503.70 and 7,649.24 is: 10,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.39 : 17,503.70 = 7,649.24 : x
  2. Step 2: Convert to fraction form
    12,683.39/17,503.70 = 7,649.24/x
  3. Step 3: Cross multiply
    12,683.39x = 17,503.70 × 7,649.24
  4. Step 4: Simplify right side
    12,683.39x = 133,890,002.19
  5. Step 5: Solve for x
    x = 133,890,002.19/12,683.39
  6. Step 6: Final answer
    x = 10,556.33

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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.