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Finding the Fourth Proportional to 21,232.59, 31,846.92 and 7,191

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Solution

The fourth proportional to 21,232.59, 31,846.92 and 7,191 is: 10,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.59 : 31,846.92 = 7,191 : x
  2. Step 2: Convert to fraction form
    21,232.59/31,846.92 = 7,191/x
  3. Step 3: Cross multiply
    21,232.59x = 31,846.92 × 7,191
  4. Step 4: Simplify right side
    21,232.59x = 229,011,201.72
  5. Step 5: Solve for x
    x = 229,011,201.72/21,232.59
  6. Step 6: Final answer
    x = 10,785.83

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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.