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Finding the Fourth Proportional to 12,890, 17,788.20 and 7,002

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Solution

The fourth proportional to 12,890, 17,788.20 and 7,002 is: 9,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890 : 17,788.20 = 7,002 : x
  2. Step 2: Convert to fraction form
    12,890/17,788.20 = 7,002/x
  3. Step 3: Cross multiply
    12,890x = 17,788.20 × 7,002
  4. Step 4: Simplify right side
    12,890x = 124,552,976.40
  5. Step 5: Solve for x
    x = 124,552,976.40/12,890
  6. Step 6: Final answer
    x = 9,662.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.