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Finding the Fourth Proportional to 27,311.90, 40,967.85 and 9,782.30

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Solution

The fourth proportional to 27,311.90, 40,967.85 and 9,782.30 is: 14,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.90 : 40,967.85 = 9,782.30 : x
  2. Step 2: Convert to fraction form
    27,311.90/40,967.85 = 9,782.30/x
  3. Step 3: Cross multiply
    27,311.90x = 40,967.85 × 9,782.30
  4. Step 4: Simplify right side
    27,311.90x = 400,759,799.06
  5. Step 5: Solve for x
    x = 400,759,799.06/27,311.90
  6. Step 6: Final answer
    x = 14,673.45

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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.