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Finding the Fourth Proportional to 12,683.78, 17,500.65 and 7,646.66

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Solution

The fourth proportional to 12,683.78, 17,500.65 and 7,646.66 is: 10,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.78 : 17,500.65 = 7,646.66 : x
  2. Step 2: Convert to fraction form
    12,683.78/17,500.65 = 7,646.66/x
  3. Step 3: Cross multiply
    12,683.78x = 17,500.65 × 7,646.66
  4. Step 4: Simplify right side
    12,683.78x = 133,821,520.33
  5. Step 5: Solve for x
    x = 133,821,520.33/12,683.78
  6. Step 6: Final answer
    x = 10,550.60

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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.