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Finding the Fourth Proportional to 13,505.18, 20,257.77 and 3,644.46

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Solution

The fourth proportional to 13,505.18, 20,257.77 and 3,644.46 is: 5,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.18 : 20,257.77 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    13,505.18/20,257.77 = 3,644.46/x
  3. Step 3: Cross multiply
    13,505.18x = 20,257.77 × 3,644.46
  4. Step 4: Simplify right side
    13,505.18x = 73,828,646.12
  5. Step 5: Solve for x
    x = 73,828,646.12/13,505.18
  6. Step 6: Final answer
    x = 5,466.69

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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.