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Finding the Fourth Proportional to 16,257.71, 24,369.80 and 7,927.44

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Solution

The fourth proportional to 16,257.71, 24,369.80 and 7,927.44 is: 11,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.71 : 24,369.80 = 7,927.44 : x
  2. Step 2: Convert to fraction form
    16,257.71/24,369.80 = 7,927.44/x
  3. Step 3: Cross multiply
    16,257.71x = 24,369.80 × 7,927.44
  4. Step 4: Simplify right side
    16,257.71x = 193,189,996.29
  5. Step 5: Solve for x
    x = 193,189,996.29/16,257.71
  6. Step 6: Final answer
    x = 11,882.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.