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Finding the Fourth Proportional to 27,403.31, 37,816.67 and 14,828.06

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Solution

The fourth proportional to 27,403.31, 37,816.67 and 14,828.06 is: 20,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.31 : 37,816.67 = 14,828.06 : x
  2. Step 2: Convert to fraction form
    27,403.31/37,816.67 = 14,828.06/x
  3. Step 3: Cross multiply
    27,403.31x = 37,816.67 × 14,828.06
  4. Step 4: Simplify right side
    27,403.31x = 560,747,983.37
  5. Step 5: Solve for x
    x = 560,747,983.37/27,403.31
  6. Step 6: Final answer
    x = 20,462.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.