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Finding the Fourth Proportional to 12,548.80, 17,328.36 and 7,841.12

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Solution

The fourth proportional to 12,548.80, 17,328.36 and 7,841.12 is: 10,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.80 : 17,328.36 = 7,841.12 : x
  2. Step 2: Convert to fraction form
    12,548.80/17,328.36 = 7,841.12/x
  3. Step 3: Cross multiply
    12,548.80x = 17,328.36 × 7,841.12
  4. Step 4: Simplify right side
    12,548.80x = 135,873,750.16
  5. Step 5: Solve for x
    x = 135,873,750.16/12,548.80
  6. Step 6: Final answer
    x = 10,827.63

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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.