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Finding the Fourth Proportional to 14,916.26, 20,584.32 and 8,201.70

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Solution

The fourth proportional to 14,916.26, 20,584.32 and 8,201.70 is: 11,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.26 : 20,584.32 = 8,201.70 : x
  2. Step 2: Convert to fraction form
    14,916.26/20,584.32 = 8,201.70/x
  3. Step 3: Cross multiply
    14,916.26x = 20,584.32 × 8,201.70
  4. Step 4: Simplify right side
    14,916.26x = 168,826,417.34
  5. Step 5: Solve for x
    x = 168,826,417.34/14,916.26
  6. Step 6: Final answer
    x = 11,318.28

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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.