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Finding the Fourth Proportional to 12,873, 19,305.66 and 4,974.12

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Solution

The fourth proportional to 12,873, 19,305.66 and 4,974.12 is: 7,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873 : 19,305.66 = 4,974.12 : x
  2. Step 2: Convert to fraction form
    12,873/19,305.66 = 4,974.12/x
  3. Step 3: Cross multiply
    12,873x = 19,305.66 × 4,974.12
  4. Step 4: Simplify right side
    12,873x = 96,028,669.52
  5. Step 5: Solve for x
    x = 96,028,669.52/12,873
  6. Step 6: Final answer
    x = 7,459.70

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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.