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Finding the Fourth Proportional to 18,493.34, 27,740.22 and 5,345.83

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Solution

The fourth proportional to 18,493.34, 27,740.22 and 5,345.83 is: 8,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.34 : 27,740.22 = 5,345.83 : x
  2. Step 2: Convert to fraction form
    18,493.34/27,740.22 = 5,345.83/x
  3. Step 3: Cross multiply
    18,493.34x = 27,740.22 × 5,345.83
  4. Step 4: Simplify right side
    18,493.34x = 148,294,434.91
  5. Step 5: Solve for x
    x = 148,294,434.91/18,493.34
  6. Step 6: Final answer
    x = 8,018.80

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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.