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Finding the Fourth Proportional to 27,954.40, 41,930.70 and 9,235.30

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Solution

The fourth proportional to 27,954.40, 41,930.70 and 9,235.30 is: 13,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.40 : 41,930.70 = 9,235.30 : x
  2. Step 2: Convert to fraction form
    27,954.40/41,930.70 = 9,235.30/x
  3. Step 3: Cross multiply
    27,954.40x = 41,930.70 × 9,235.30
  4. Step 4: Simplify right side
    27,954.40x = 387,242,593.71
  5. Step 5: Solve for x
    x = 387,242,593.71/27,954.40
  6. Step 6: Final answer
    x = 13,852.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.