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Finding the Fourth Proportional to 27,894.42, 41,809.14 and 10,353.06

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Solution

The fourth proportional to 27,894.42, 41,809.14 and 10,353.06 is: 15,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.42 : 41,809.14 = 10,353.06 : x
  2. Step 2: Convert to fraction form
    27,894.42/41,809.14 = 10,353.06/x
  3. Step 3: Cross multiply
    27,894.42x = 41,809.14 × 10,353.06
  4. Step 4: Simplify right side
    27,894.42x = 432,852,534.97
  5. Step 5: Solve for x
    x = 432,852,534.97/27,894.42
  6. Step 6: Final answer
    x = 15,517.53

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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.