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Finding the Fourth Proportional to 27,807.81, 41,682.54 and 13,004.25

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Solution

The fourth proportional to 27,807.81, 41,682.54 and 13,004.25 is: 19,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.81 : 41,682.54 = 13,004.25 : x
  2. Step 2: Convert to fraction form
    27,807.81/41,682.54 = 13,004.25/x
  3. Step 3: Cross multiply
    27,807.81x = 41,682.54 × 13,004.25
  4. Step 4: Simplify right side
    27,807.81x = 542,050,170.80
  5. Step 5: Solve for x
    x = 542,050,170.80/27,807.81
  6. Step 6: Final answer
    x = 19,492.73

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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.