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Finding the Fourth Proportional to 15,696.11, 23,516.49 and 8,284.24

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Solution

The fourth proportional to 15,696.11, 23,516.49 and 8,284.24 is: 12,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.11 : 23,516.49 = 8,284.24 : x
  2. Step 2: Convert to fraction form
    15,696.11/23,516.49 = 8,284.24/x
  3. Step 3: Cross multiply
    15,696.11x = 23,516.49 × 8,284.24
  4. Step 4: Simplify right side
    15,696.11x = 194,816,307.58
  5. Step 5: Solve for x
    x = 194,816,307.58/15,696.11
  6. Step 6: Final answer
    x = 12,411.76

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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.