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Finding the Fourth Proportional to 12,133.80, 18,186.30 and 5,113.80

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Solution

The fourth proportional to 12,133.80, 18,186.30 and 5,113.80 is: 7,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.80 : 18,186.30 = 5,113.80 : x
  2. Step 2: Convert to fraction form
    12,133.80/18,186.30 = 5,113.80/x
  3. Step 3: Cross multiply
    12,133.80x = 18,186.30 × 5,113.80
  4. Step 4: Simplify right side
    12,133.80x = 93,001,100.94
  5. Step 5: Solve for x
    x = 93,001,100.94/12,133.80
  6. Step 6: Final answer
    x = 7,664.63

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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.