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Finding the Fourth Proportional to 12,451.80, 18,677.86 and 7,254.04

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Solution

The fourth proportional to 12,451.80, 18,677.86 and 7,254.04 is: 10,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.80 : 18,677.86 = 7,254.04 : x
  2. Step 2: Convert to fraction form
    12,451.80/18,677.86 = 7,254.04/x
  3. Step 3: Cross multiply
    12,451.80x = 18,677.86 × 7,254.04
  4. Step 4: Simplify right side
    12,451.80x = 135,489,943.55
  5. Step 5: Solve for x
    x = 135,489,943.55/12,451.80
  6. Step 6: Final answer
    x = 10,881.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.