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Finding the Fourth Proportional to 27,057.49, 40,586.93 and 12,822.63

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Solution

The fourth proportional to 27,057.49, 40,586.93 and 12,822.63 is: 19,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.49 : 40,586.93 = 12,822.63 : x
  2. Step 2: Convert to fraction form
    27,057.49/40,586.93 = 12,822.63/x
  3. Step 3: Cross multiply
    27,057.49x = 40,586.93 × 12,822.63
  4. Step 4: Simplify right side
    27,057.49x = 520,431,018.00
  5. Step 5: Solve for x
    x = 520,431,018.00/27,057.49
  6. Step 6: Final answer
    x = 19,234.27

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