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Finding the Fourth Proportional to 27,783.72, 41,676.66 and 10,243.98

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Solution

The fourth proportional to 27,783.72, 41,676.66 and 10,243.98 is: 15,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.72 : 41,676.66 = 10,243.98 : x
  2. Step 2: Convert to fraction form
    27,783.72/41,676.66 = 10,243.98/x
  3. Step 3: Cross multiply
    27,783.72x = 41,676.66 × 10,243.98
  4. Step 4: Simplify right side
    27,783.72x = 426,934,871.51
  5. Step 5: Solve for x
    x = 426,934,871.51/27,783.72
  6. Step 6: Final answer
    x = 15,366.37

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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.