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Finding the Fourth Proportional to 12,451.71, 18,676.76 and 5,056.82

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Solution

The fourth proportional to 12,451.71, 18,676.76 and 5,056.82 is: 7,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.71 : 18,676.76 = 5,056.82 : x
  2. Step 2: Convert to fraction form
    12,451.71/18,676.76 = 5,056.82/x
  3. Step 3: Cross multiply
    12,451.71x = 18,676.76 × 5,056.82
  4. Step 4: Simplify right side
    12,451.71x = 94,445,013.50
  5. Step 5: Solve for x
    x = 94,445,013.50/12,451.71
  6. Step 6: Final answer
    x = 7,584.90

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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.