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Finding the Fourth Proportional to 26,548.56, 39,822.84 and 6,827.13

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Solution

The fourth proportional to 26,548.56, 39,822.84 and 6,827.13 is: 10,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.56 : 39,822.84 = 6,827.13 : x
  2. Step 2: Convert to fraction form
    26,548.56/39,822.84 = 6,827.13/x
  3. Step 3: Cross multiply
    26,548.56x = 39,822.84 × 6,827.13
  4. Step 4: Simplify right side
    26,548.56x = 271,875,705.65
  5. Step 5: Solve for x
    x = 271,875,705.65/26,548.56
  6. Step 6: Final answer
    x = 10,240.70

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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.