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Finding the Fourth Proportional to 27,852.76, 41,757.23 and 13,803.13

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Solution

The fourth proportional to 27,852.76, 41,757.23 and 13,803.13 is: 20,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.76 : 41,757.23 = 13,803.13 : x
  2. Step 2: Convert to fraction form
    27,852.76/41,757.23 = 13,803.13/x
  3. Step 3: Cross multiply
    27,852.76x = 41,757.23 × 13,803.13
  4. Step 4: Simplify right side
    27,852.76x = 576,380,405.11
  5. Step 5: Solve for x
    x = 576,380,405.11/27,852.76
  6. Step 6: Final answer
    x = 20,693.83

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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.