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Finding the Fourth Proportional to 18,538.84, 27,812.62 and 5,391.48

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Solution

The fourth proportional to 18,538.84, 27,812.62 and 5,391.48 is: 8,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.84 : 27,812.62 = 5,391.48 : x
  2. Step 2: Convert to fraction form
    18,538.84/27,812.62 = 5,391.48/x
  3. Step 3: Cross multiply
    18,538.84x = 27,812.62 × 5,391.48
  4. Step 4: Simplify right side
    18,538.84x = 149,951,184.48
  5. Step 5: Solve for x
    x = 149,951,184.48/18,538.84
  6. Step 6: Final answer
    x = 8,088.49

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Why These Related Problems?

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