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Finding the Fourth Proportional to 21,047.44, 31,546.02 and 9,787.56

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Solution

The fourth proportional to 21,047.44, 31,546.02 and 9,787.56 is: 14,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.44 : 31,546.02 = 9,787.56 : x
  2. Step 2: Convert to fraction form
    21,047.44/31,546.02 = 9,787.56/x
  3. Step 3: Cross multiply
    21,047.44x = 31,546.02 × 9,787.56
  4. Step 4: Simplify right side
    21,047.44x = 308,758,563.51
  5. Step 5: Solve for x
    x = 308,758,563.51/21,047.44
  6. Step 6: Final answer
    x = 14,669.65

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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.