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Finding the Fourth Proportional to 12,696.14, 19,049.68 and 8,551.78

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Solution

The fourth proportional to 12,696.14, 19,049.68 and 8,551.78 is: 12,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.14 : 19,049.68 = 8,551.78 : x
  2. Step 2: Convert to fraction form
    12,696.14/19,049.68 = 8,551.78/x
  3. Step 3: Cross multiply
    12,696.14x = 19,049.68 × 8,551.78
  4. Step 4: Simplify right side
    12,696.14x = 162,908,635.50
  5. Step 5: Solve for x
    x = 162,908,635.50/12,696.14
  6. Step 6: Final answer
    x = 12,831.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.