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Finding the Fourth Proportional to 12,992.50, 19,486.91 and 4,671.30

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Solution

The fourth proportional to 12,992.50, 19,486.91 and 4,671.30 is: 7,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.50 : 19,486.91 = 4,671.30 : x
  2. Step 2: Convert to fraction form
    12,992.50/19,486.91 = 4,671.30/x
  3. Step 3: Cross multiply
    12,992.50x = 19,486.91 × 4,671.30
  4. Step 4: Simplify right side
    12,992.50x = 91,029,287.44
  5. Step 5: Solve for x
    x = 91,029,287.44/12,992.50
  6. Step 6: Final answer
    x = 7,006.29

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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.