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Finding the Fourth Proportional to 20,810.32, 31,220.16 and 10,954.24

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Solution

The fourth proportional to 20,810.32, 31,220.16 and 10,954.24 is: 16,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.32 : 31,220.16 = 10,954.24 : x
  2. Step 2: Convert to fraction form
    20,810.32/31,220.16 = 10,954.24/x
  3. Step 3: Cross multiply
    20,810.32x = 31,220.16 × 10,954.24
  4. Step 4: Simplify right side
    20,810.32x = 341,993,125.48
  5. Step 5: Solve for x
    x = 341,993,125.48/20,810.32
  6. Step 6: Final answer
    x = 16,433.82

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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.