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Finding the Fourth Proportional to 13,671.79, 20,509.72 and 4,310.82

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Solution

The fourth proportional to 13,671.79, 20,509.72 and 4,310.82 is: 6,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.79 : 20,509.72 = 4,310.82 : x
  2. Step 2: Convert to fraction form
    13,671.79/20,509.72 = 4,310.82/x
  3. Step 3: Cross multiply
    13,671.79x = 20,509.72 × 4,310.82
  4. Step 4: Simplify right side
    13,671.79x = 88,413,700.39
  5. Step 5: Solve for x
    x = 88,413,700.39/13,671.79
  6. Step 6: Final answer
    x = 6,466.87

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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.