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Finding the Fourth Proportional to 16,222.62, 22,368.54 and 11,979.84

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Solution

The fourth proportional to 16,222.62, 22,368.54 and 11,979.84 is: 16,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.62 : 22,368.54 = 11,979.84 : x
  2. Step 2: Convert to fraction form
    16,222.62/22,368.54 = 11,979.84/x
  3. Step 3: Cross multiply
    16,222.62x = 22,368.54 × 11,979.84
  4. Step 4: Simplify right side
    16,222.62x = 267,971,530.23
  5. Step 5: Solve for x
    x = 267,971,530.23/16,222.62
  6. Step 6: Final answer
    x = 16,518.39

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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.