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Finding the Fourth Proportional to 12,548.81, 17,310.12 and 7,824.89

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Solution

The fourth proportional to 12,548.81, 17,310.12 and 7,824.89 is: 10,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.81 : 17,310.12 = 7,824.89 : x
  2. Step 2: Convert to fraction form
    12,548.81/17,310.12 = 7,824.89/x
  3. Step 3: Cross multiply
    12,548.81x = 17,310.12 × 7,824.89
  4. Step 4: Simplify right side
    12,548.81x = 135,449,784.89
  5. Step 5: Solve for x
    x = 135,449,784.89/12,548.81
  6. Step 6: Final answer
    x = 10,793.84

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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.