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Finding the Fourth Proportional to 26,783.85, 40,186.71 and 9,265.98

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Solution

The fourth proportional to 26,783.85, 40,186.71 and 9,265.98 is: 13,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.85 : 40,186.71 = 9,265.98 : x
  2. Step 2: Convert to fraction form
    26,783.85/40,186.71 = 9,265.98/x
  3. Step 3: Cross multiply
    26,783.85x = 40,186.71 × 9,265.98
  4. Step 4: Simplify right side
    26,783.85x = 372,369,251.13
  5. Step 5: Solve for x
    x = 372,369,251.13/26,783.85
  6. Step 6: Final answer
    x = 13,902.75

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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.