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Finding the Fourth Proportional to 12,908.31, 17,819.37 and 9,923.10

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Solution

The fourth proportional to 12,908.31, 17,819.37 and 9,923.10 is: 13,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.31 : 17,819.37 = 9,923.10 : x
  2. Step 2: Convert to fraction form
    12,908.31/17,819.37 = 9,923.10/x
  3. Step 3: Cross multiply
    12,908.31x = 17,819.37 × 9,923.10
  4. Step 4: Simplify right side
    12,908.31x = 176,823,390.45
  5. Step 5: Solve for x
    x = 176,823,390.45/12,908.31
  6. Step 6: Final answer
    x = 13,698.42

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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.