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Finding the Fourth Proportional to 12,013.84, 18,013 and 4,998.69

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Solution

The fourth proportional to 12,013.84, 18,013 and 4,998.69 is: 7,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.84 : 18,013 = 4,998.69 : x
  2. Step 2: Convert to fraction form
    12,013.84/18,013 = 4,998.69/x
  3. Step 3: Cross multiply
    12,013.84x = 18,013 × 4,998.69
  4. Step 4: Simplify right side
    12,013.84x = 90,041,402.97
  5. Step 5: Solve for x
    x = 90,041,402.97/12,013.84
  6. Step 6: Final answer
    x = 7,494.81

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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.