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Finding the Fourth Proportional to 16,156.25, 24,244.10 and 6,922.25

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Solution

The fourth proportional to 16,156.25, 24,244.10 and 6,922.25 is: 10,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.25 : 24,244.10 = 6,922.25 : x
  2. Step 2: Convert to fraction form
    16,156.25/24,244.10 = 6,922.25/x
  3. Step 3: Cross multiply
    16,156.25x = 24,244.10 × 6,922.25
  4. Step 4: Simplify right side
    16,156.25x = 167,823,721.23
  5. Step 5: Solve for x
    x = 167,823,721.23/16,156.25
  6. Step 6: Final answer
    x = 10,387.54

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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.