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Finding the Fourth Proportional to 14,916.36, 20,584.65 and 8,202.42

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Solution

The fourth proportional to 14,916.36, 20,584.65 and 8,202.42 is: 11,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.36 : 20,584.65 = 8,202.42 : x
  2. Step 2: Convert to fraction form
    14,916.36/20,584.65 = 8,202.42/x
  3. Step 3: Cross multiply
    14,916.36x = 20,584.65 × 8,202.42
  4. Step 4: Simplify right side
    14,916.36x = 168,843,800.92
  5. Step 5: Solve for x
    x = 168,843,800.92/14,916.36
  6. Step 6: Final answer
    x = 11,319.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.