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Finding the Fourth Proportional to 18,337.23, 27,501.42 and 8,467.02

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Solution

The fourth proportional to 18,337.23, 27,501.42 and 8,467.02 is: 12,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,337.23 : 27,501.42 = 8,467.02 : x
  2. Step 2: Convert to fraction form
    18,337.23/27,501.42 = 8,467.02/x
  3. Step 3: Cross multiply
    18,337.23x = 27,501.42 × 8,467.02
  4. Step 4: Simplify right side
    18,337.23x = 232,855,073.17
  5. Step 5: Solve for x
    x = 232,855,073.17/18,337.23
  6. Step 6: Final answer
    x = 12,698.49

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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.