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Finding the Fourth Proportional to 18,337.82, 27,506.51 and 5,857.68

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Solution

The fourth proportional to 18,337.82, 27,506.51 and 5,857.68 is: 8,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,337.82 : 27,506.51 = 5,857.68 : x
  2. Step 2: Convert to fraction form
    18,337.82/27,506.51 = 5,857.68/x
  3. Step 3: Cross multiply
    18,337.82x = 27,506.51 × 5,857.68
  4. Step 4: Simplify right side
    18,337.82x = 161,124,333.50
  5. Step 5: Solve for x
    x = 161,124,333.50/18,337.82
  6. Step 6: Final answer
    x = 8,786.45

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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.