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Finding the Fourth Proportional to 13,441.62, 20,166.06 and 4,677.02

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Solution

The fourth proportional to 13,441.62, 20,166.06 and 4,677.02 is: 7,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.62 : 20,166.06 = 4,677.02 : x
  2. Step 2: Convert to fraction form
    13,441.62/20,166.06 = 4,677.02/x
  3. Step 3: Cross multiply
    13,441.62x = 20,166.06 × 4,677.02
  4. Step 4: Simplify right side
    13,441.62x = 94,317,065.94
  5. Step 5: Solve for x
    x = 94,317,065.94/13,441.62
  6. Step 6: Final answer
    x = 7,016.79

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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.