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Finding the Fourth Proportional to 17,462.16, 26,193.48 and 16,108

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Solution

The fourth proportional to 17,462.16, 26,193.48 and 16,108 is: 24,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.16 : 26,193.48 = 16,108 : x
  2. Step 2: Convert to fraction form
    17,462.16/26,193.48 = 16,108/x
  3. Step 3: Cross multiply
    17,462.16x = 26,193.48 × 16,108
  4. Step 4: Simplify right side
    17,462.16x = 421,924,575.84
  5. Step 5: Solve for x
    x = 421,924,575.84/17,462.16
  6. Step 6: Final answer
    x = 24,162.22

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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.