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Finding the Fourth Proportional to 13,809.78, 19,049.27 and 8,697.15

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Solution

The fourth proportional to 13,809.78, 19,049.27 and 8,697.15 is: 11,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.78 : 19,049.27 = 8,697.15 : x
  2. Step 2: Convert to fraction form
    13,809.78/19,049.27 = 8,697.15/x
  3. Step 3: Cross multiply
    13,809.78x = 19,049.27 × 8,697.15
  4. Step 4: Simplify right side
    13,809.78x = 165,674,315.09
  5. Step 5: Solve for x
    x = 165,674,315.09/13,809.78
  6. Step 6: Final answer
    x = 11,996.88

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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.