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Finding the Fourth Proportional to 24,474.85, 36,706.74 and 11,320

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Solution

The fourth proportional to 24,474.85, 36,706.74 and 11,320 is: 16,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.85 : 36,706.74 = 11,320 : x
  2. Step 2: Convert to fraction form
    24,474.85/36,706.74 = 11,320/x
  3. Step 3: Cross multiply
    24,474.85x = 36,706.74 × 11,320
  4. Step 4: Simplify right side
    24,474.85x = 415,520,296.80
  5. Step 5: Solve for x
    x = 415,520,296.80/24,474.85
  6. Step 6: Final answer
    x = 16,977.44

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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.