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Finding the Fourth Proportional to 21,155.88, 31,732.56 and 9,465.96

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Solution

The fourth proportional to 21,155.88, 31,732.56 and 9,465.96 is: 14,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.88 : 31,732.56 = 9,465.96 : x
  2. Step 2: Convert to fraction form
    21,155.88/31,732.56 = 9,465.96/x
  3. Step 3: Cross multiply
    21,155.88x = 31,732.56 × 9,465.96
  4. Step 4: Simplify right side
    21,155.88x = 300,379,143.66
  5. Step 5: Solve for x
    x = 300,379,143.66/21,155.88
  6. Step 6: Final answer
    x = 14,198.38

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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.