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Finding the Fourth Proportional to 12,466.72, 18,702.06 and 4,676.12

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Solution

The fourth proportional to 12,466.72, 18,702.06 and 4,676.12 is: 7,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.72 : 18,702.06 = 4,676.12 : x
  2. Step 2: Convert to fraction form
    12,466.72/18,702.06 = 4,676.12/x
  3. Step 3: Cross multiply
    12,466.72x = 18,702.06 × 4,676.12
  4. Step 4: Simplify right side
    12,466.72x = 87,453,076.81
  5. Step 5: Solve for x
    x = 87,453,076.81/12,466.72
  6. Step 6: Final answer
    x = 7,014.92

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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.