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Finding the Fourth Proportional to 12,118.50, 16,723.80 and 7,405.38

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Solution

The fourth proportional to 12,118.50, 16,723.80 and 7,405.38 is: 10,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.50 : 16,723.80 = 7,405.38 : x
  2. Step 2: Convert to fraction form
    12,118.50/16,723.80 = 7,405.38/x
  3. Step 3: Cross multiply
    12,118.50x = 16,723.80 × 7,405.38
  4. Step 4: Simplify right side
    12,118.50x = 123,846,094.04
  5. Step 5: Solve for x
    x = 123,846,094.04/12,118.50
  6. Step 6: Final answer
    x = 10,219.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.