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Finding the Fourth Proportional to 12,416.97, 17,135.49 and 6,751.78

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Solution

The fourth proportional to 12,416.97, 17,135.49 and 6,751.78 is: 9,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.97 : 17,135.49 = 6,751.78 : x
  2. Step 2: Convert to fraction form
    12,416.97/17,135.49 = 6,751.78/x
  3. Step 3: Cross multiply
    12,416.97x = 17,135.49 × 6,751.78
  4. Step 4: Simplify right side
    12,416.97x = 115,695,041.15
  5. Step 5: Solve for x
    x = 115,695,041.15/12,416.97
  6. Step 6: Final answer
    x = 9,317.49

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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.