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Finding the Fourth Proportional to 12,760.94, 17,613.58 and 8,284.45

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Solution

The fourth proportional to 12,760.94, 17,613.58 and 8,284.45 is: 11,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.94 : 17,613.58 = 8,284.45 : x
  2. Step 2: Convert to fraction form
    12,760.94/17,613.58 = 8,284.45/x
  3. Step 3: Cross multiply
    12,760.94x = 17,613.58 × 8,284.45
  4. Step 4: Simplify right side
    12,760.94x = 145,918,822.83
  5. Step 5: Solve for x
    x = 145,918,822.83/12,760.94
  6. Step 6: Final answer
    x = 11,434.80

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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.