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Finding the Fourth Proportional to 13,505.94, 20,257.02 and 3,646.08

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Solution

The fourth proportional to 13,505.94, 20,257.02 and 3,646.08 is: 5,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.94 : 20,257.02 = 3,646.08 : x
  2. Step 2: Convert to fraction form
    13,505.94/20,257.02 = 3,646.08/x
  3. Step 3: Cross multiply
    13,505.94x = 20,257.02 × 3,646.08
  4. Step 4: Simplify right side
    13,505.94x = 73,858,715.48
  5. Step 5: Solve for x
    x = 73,858,715.48/13,505.94
  6. Step 6: Final answer
    x = 5,468.61

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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.