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Finding the Fourth Proportional to 17,854, 24,628.26 and 11,136.40

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Solution

The fourth proportional to 17,854, 24,628.26 and 11,136.40 is: 15,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854 : 24,628.26 = 11,136.40 : x
  2. Step 2: Convert to fraction form
    17,854/24,628.26 = 11,136.40/x
  3. Step 3: Cross multiply
    17,854x = 24,628.26 × 11,136.40
  4. Step 4: Simplify right side
    17,854x = 274,270,154.66
  5. Step 5: Solve for x
    x = 274,270,154.66/17,854
  6. Step 6: Final answer
    x = 15,361.83

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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.