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Finding the Fourth Proportional to 14,916.12, 20,584.74 and 8,202

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Solution

The fourth proportional to 14,916.12, 20,584.74 and 8,202 is: 11,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.12 : 20,584.74 = 8,202 : x
  2. Step 2: Convert to fraction form
    14,916.12/20,584.74 = 8,202/x
  3. Step 3: Cross multiply
    14,916.12x = 20,584.74 × 8,202
  4. Step 4: Simplify right side
    14,916.12x = 168,836,037.48
  5. Step 5: Solve for x
    x = 168,836,037.48/14,916.12
  6. Step 6: Final answer
    x = 11,319.03

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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.