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Finding the Fourth Proportional to 12,786.89, 17,641.68 and 7,477.95

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Solution

The fourth proportional to 12,786.89, 17,641.68 and 7,477.95 is: 10,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.89 : 17,641.68 = 7,477.95 : x
  2. Step 2: Convert to fraction form
    12,786.89/17,641.68 = 7,477.95/x
  3. Step 3: Cross multiply
    12,786.89x = 17,641.68 × 7,477.95
  4. Step 4: Simplify right side
    12,786.89x = 131,923,600.96
  5. Step 5: Solve for x
    x = 131,923,600.96/12,786.89
  6. Step 6: Final answer
    x = 10,317.10

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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.