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Finding the Fourth Proportional to 26,554.01, 39,821.72 and 7,829.07

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Solution

The fourth proportional to 26,554.01, 39,821.72 and 7,829.07 is: 11,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,554.01 : 39,821.72 = 7,829.07 : x
  2. Step 2: Convert to fraction form
    26,554.01/39,821.72 = 7,829.07/x
  3. Step 3: Cross multiply
    26,554.01x = 39,821.72 × 7,829.07
  4. Step 4: Simplify right side
    26,554.01x = 311,767,052.97
  5. Step 5: Solve for x
    x = 311,767,052.97/26,554.01
  6. Step 6: Final answer
    x = 11,740.87

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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.