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Finding the Fourth Proportional to 12,576.84, 18,869.28 and 3,811.80

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Solution

The fourth proportional to 12,576.84, 18,869.28 and 3,811.80 is: 5,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.84 : 18,869.28 = 3,811.80 : x
  2. Step 2: Convert to fraction form
    12,576.84/18,869.28 = 3,811.80/x
  3. Step 3: Cross multiply
    12,576.84x = 18,869.28 × 3,811.80
  4. Step 4: Simplify right side
    12,576.84x = 71,925,921.50
  5. Step 5: Solve for x
    x = 71,925,921.50/12,576.84
  6. Step 6: Final answer
    x = 5,718.92

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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.