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Finding the Fourth Proportional to 16,255.34, 24,384.18 and 7,942.28

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Solution

The fourth proportional to 16,255.34, 24,384.18 and 7,942.28 is: 11,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.34 : 24,384.18 = 7,942.28 : x
  2. Step 2: Convert to fraction form
    16,255.34/24,384.18 = 7,942.28/x
  3. Step 3: Cross multiply
    16,255.34x = 24,384.18 × 7,942.28
  4. Step 4: Simplify right side
    16,255.34x = 193,665,985.13
  5. Step 5: Solve for x
    x = 193,665,985.13/16,255.34
  6. Step 6: Final answer
    x = 11,913.99

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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.