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Finding the Fourth Proportional to 26,048.84, 39,076.50 and 8,513.96

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Solution

The fourth proportional to 26,048.84, 39,076.50 and 8,513.96 is: 12,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048.84 : 39,076.50 = 8,513.96 : x
  2. Step 2: Convert to fraction form
    26,048.84/39,076.50 = 8,513.96/x
  3. Step 3: Cross multiply
    26,048.84x = 39,076.50 × 8,513.96
  4. Step 4: Simplify right side
    26,048.84x = 332,695,757.94
  5. Step 5: Solve for x
    x = 332,695,757.94/26,048.84
  6. Step 6: Final answer
    x = 12,772.00

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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.