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Finding the Fourth Proportional to 16,379.12, 22,596 and 11,072

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Solution

The fourth proportional to 16,379.12, 22,596 and 11,072 is: 15,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.12 : 22,596 = 11,072 : x
  2. Step 2: Convert to fraction form
    16,379.12/22,596 = 11,072/x
  3. Step 3: Cross multiply
    16,379.12x = 22,596 × 11,072
  4. Step 4: Simplify right side
    16,379.12x = 250,182,912
  5. Step 5: Solve for x
    x = 250,182,912/16,379.12
  6. Step 6: Final answer
    x = 15,274.50

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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.