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Finding the Fourth Proportional to 12,890, 17,796.78 and 9,900.50

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Solution

The fourth proportional to 12,890, 17,796.78 and 9,900.50 is: 13,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890 : 17,796.78 = 9,900.50 : x
  2. Step 2: Convert to fraction form
    12,890/17,796.78 = 9,900.50/x
  3. Step 3: Cross multiply
    12,890x = 17,796.78 × 9,900.50
  4. Step 4: Simplify right side
    12,890x = 176,197,020.39
  5. Step 5: Solve for x
    x = 176,197,020.39/12,890
  6. Step 6: Final answer
    x = 13,669.28

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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.