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Finding the Fourth Proportional to 17,383.72, 26,041.02 and 11,209

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Solution

The fourth proportional to 17,383.72, 26,041.02 and 11,209 is: 16,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.72 : 26,041.02 = 11,209 : x
  2. Step 2: Convert to fraction form
    17,383.72/26,041.02 = 11,209/x
  3. Step 3: Cross multiply
    17,383.72x = 26,041.02 × 11,209
  4. Step 4: Simplify right side
    17,383.72x = 291,893,793.18
  5. Step 5: Solve for x
    x = 291,893,793.18/17,383.72
  6. Step 6: Final answer
    x = 16,791.22

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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.