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Finding the Fourth Proportional to 15,905.35, 21,956.84 and 9,945.78

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Solution

The fourth proportional to 15,905.35, 21,956.84 and 9,945.78 is: 13,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.35 : 21,956.84 = 9,945.78 : x
  2. Step 2: Convert to fraction form
    15,905.35/21,956.84 = 9,945.78/x
  3. Step 3: Cross multiply
    15,905.35x = 21,956.84 × 9,945.78
  4. Step 4: Simplify right side
    15,905.35x = 218,377,900.14
  5. Step 5: Solve for x
    x = 218,377,900.14/15,905.35
  6. Step 6: Final answer
    x = 13,729.84

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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.