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Finding the Fourth Proportional to 21,041.58, 31,535.10 and 8,546.97

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Solution

The fourth proportional to 21,041.58, 31,535.10 and 8,546.97 is: 12,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041.58 : 31,535.10 = 8,546.97 : x
  2. Step 2: Convert to fraction form
    21,041.58/31,535.10 = 8,546.97/x
  3. Step 3: Cross multiply
    21,041.58x = 31,535.10 × 8,546.97
  4. Step 4: Simplify right side
    21,041.58x = 269,529,553.65
  5. Step 5: Solve for x
    x = 269,529,553.65/21,041.58
  6. Step 6: Final answer
    x = 12,809.38

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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.