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Finding the Fourth Proportional to 13,553.65, 20,326.36 and 3,691.63

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Solution

The fourth proportional to 13,553.65, 20,326.36 and 3,691.63 is: 5,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.65 : 20,326.36 = 3,691.63 : x
  2. Step 2: Convert to fraction form
    13,553.65/20,326.36 = 3,691.63/x
  3. Step 3: Cross multiply
    13,553.65x = 20,326.36 × 3,691.63
  4. Step 4: Simplify right side
    13,553.65x = 75,037,400.37
  5. Step 5: Solve for x
    x = 75,037,400.37/13,553.65
  6. Step 6: Final answer
    x = 5,536.32

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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.