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Finding the Fourth Proportional to 19,825.50, 27,354.90 and 11,437.14

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Solution

The fourth proportional to 19,825.50, 27,354.90 and 11,437.14 is: 15,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.50 : 27,354.90 = 11,437.14 : x
  2. Step 2: Convert to fraction form
    19,825.50/27,354.90 = 11,437.14/x
  3. Step 3: Cross multiply
    19,825.50x = 27,354.90 × 11,437.14
  4. Step 4: Simplify right side
    19,825.50x = 312,861,820.99
  5. Step 5: Solve for x
    x = 312,861,820.99/19,825.50
  6. Step 6: Final answer
    x = 15,780.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.