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Finding the Fourth Proportional to 13,205.34, 19,809.27 and 3,717.63

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Solution

The fourth proportional to 13,205.34, 19,809.27 and 3,717.63 is: 5,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.34 : 19,809.27 = 3,717.63 : x
  2. Step 2: Convert to fraction form
    13,205.34/19,809.27 = 3,717.63/x
  3. Step 3: Cross multiply
    13,205.34x = 19,809.27 × 3,717.63
  4. Step 4: Simplify right side
    13,205.34x = 73,643,536.43
  5. Step 5: Solve for x
    x = 73,643,536.43/13,205.34
  6. Step 6: Final answer
    x = 5,576.80

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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.