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Finding the Fourth Proportional to 12,884.97, 17,784.77 and 7,581.50

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Solution

The fourth proportional to 12,884.97, 17,784.77 and 7,581.50 is: 10,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.97 : 17,784.77 = 7,581.50 : x
  2. Step 2: Convert to fraction form
    12,884.97/17,784.77 = 7,581.50/x
  3. Step 3: Cross multiply
    12,884.97x = 17,784.77 × 7,581.50
  4. Step 4: Simplify right side
    12,884.97x = 134,835,233.76
  5. Step 5: Solve for x
    x = 134,835,233.76/12,884.97
  6. Step 6: Final answer
    x = 10,464.54

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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.