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Finding the Fourth Proportional to 16,955.28, 25,416 and 8,185.38

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Solution

The fourth proportional to 16,955.28, 25,416 and 8,185.38 is: 12,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,955.28 : 25,416 = 8,185.38 : x
  2. Step 2: Convert to fraction form
    16,955.28/25,416 = 8,185.38/x
  3. Step 3: Cross multiply
    16,955.28x = 25,416 × 8,185.38
  4. Step 4: Simplify right side
    16,955.28x = 208,039,618.08
  5. Step 5: Solve for x
    x = 208,039,618.08/16,955.28
  6. Step 6: Final answer
    x = 12,269.90

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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.