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Finding the Fourth Proportional to 24,675, 36,980.10 and 11,343

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Solution

The fourth proportional to 24,675, 36,980.10 and 11,343 is: 16,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675 : 36,980.10 = 11,343 : x
  2. Step 2: Convert to fraction form
    24,675/36,980.10 = 11,343/x
  3. Step 3: Cross multiply
    24,675x = 36,980.10 × 11,343
  4. Step 4: Simplify right side
    24,675x = 419,465,274.30
  5. Step 5: Solve for x
    x = 419,465,274.30/24,675
  6. Step 6: Final answer
    x = 16,999.61

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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.