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Finding the Fourth Proportional to 13,441.46, 20,171.46 and 4,676.36

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Solution

The fourth proportional to 13,441.46, 20,171.46 and 4,676.36 is: 7,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.46 : 20,171.46 = 4,676.36 : x
  2. Step 2: Convert to fraction form
    13,441.46/20,171.46 = 4,676.36/x
  3. Step 3: Cross multiply
    13,441.46x = 20,171.46 × 4,676.36
  4. Step 4: Simplify right side
    13,441.46x = 94,329,008.69
  5. Step 5: Solve for x
    x = 94,329,008.69/13,441.46
  6. Step 6: Final answer
    x = 7,017.77

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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.