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Finding the Fourth Proportional to 12,884.45, 17,789.07 and 9,894.92

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Solution

The fourth proportional to 12,884.45, 17,789.07 and 9,894.92 is: 13,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.45 : 17,789.07 = 9,894.92 : x
  2. Step 2: Convert to fraction form
    12,884.45/17,789.07 = 9,894.92/x
  3. Step 3: Cross multiply
    12,884.45x = 17,789.07 × 9,894.92
  4. Step 4: Simplify right side
    12,884.45x = 176,021,424.52
  5. Step 5: Solve for x
    x = 176,021,424.52/12,884.45
  6. Step 6: Final answer
    x = 13,661.54

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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.