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Finding the Fourth Proportional to 26,549.47, 39,824.53 and 6,827.50

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Solution

The fourth proportional to 26,549.47, 39,824.53 and 6,827.50 is: 10,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.47 : 39,824.53 = 6,827.50 : x
  2. Step 2: Convert to fraction form
    26,549.47/39,824.53 = 6,827.50/x
  3. Step 3: Cross multiply
    26,549.47x = 39,824.53 × 6,827.50
  4. Step 4: Simplify right side
    26,549.47x = 271,901,861.94
  5. Step 5: Solve for x
    x = 271,901,861.94/26,549.47
  6. Step 6: Final answer
    x = 10,241.33

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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.