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Finding the Fourth Proportional to 17,744.50, 24,489.84 and 11,455.66

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Solution

The fourth proportional to 17,744.50, 24,489.84 and 11,455.66 is: 15,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.50 : 24,489.84 = 11,455.66 : x
  2. Step 2: Convert to fraction form
    17,744.50/24,489.84 = 11,455.66/x
  3. Step 3: Cross multiply
    17,744.50x = 24,489.84 × 11,455.66
  4. Step 4: Simplify right side
    17,744.50x = 280,547,280.49
  5. Step 5: Solve for x
    x = 280,547,280.49/17,744.50
  6. Step 6: Final answer
    x = 15,810.38

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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.