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Finding the Fourth Proportional to 12,881.86, 17,776.94 and 7,576.68

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Solution

The fourth proportional to 12,881.86, 17,776.94 and 7,576.68 is: 10,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.86 : 17,776.94 = 7,576.68 : x
  2. Step 2: Convert to fraction form
    12,881.86/17,776.94 = 7,576.68/x
  3. Step 3: Cross multiply
    12,881.86x = 17,776.94 × 7,576.68
  4. Step 4: Simplify right side
    12,881.86x = 134,690,185.76
  5. Step 5: Solve for x
    x = 134,690,185.76/12,881.86
  6. Step 6: Final answer
    x = 10,455.80

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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.