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Finding the Fourth Proportional to 27,221.52, 40,837.11 and 12,431.94

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Solution

The fourth proportional to 27,221.52, 40,837.11 and 12,431.94 is: 18,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.52 : 40,837.11 = 12,431.94 : x
  2. Step 2: Convert to fraction form
    27,221.52/40,837.11 = 12,431.94/x
  3. Step 3: Cross multiply
    27,221.52x = 40,837.11 × 12,431.94
  4. Step 4: Simplify right side
    27,221.52x = 507,684,501.29
  5. Step 5: Solve for x
    x = 507,684,501.29/27,221.52
  6. Step 6: Final answer
    x = 18,650.12

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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.