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Finding the Fourth Proportional to 14,912, 22,368 and 4,524.56

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Solution

The fourth proportional to 14,912, 22,368 and 4,524.56 is: 6,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912 : 22,368 = 4,524.56 : x
  2. Step 2: Convert to fraction form
    14,912/22,368 = 4,524.56/x
  3. Step 3: Cross multiply
    14,912x = 22,368 × 4,524.56
  4. Step 4: Simplify right side
    14,912x = 101,205,358.08
  5. Step 5: Solve for x
    x = 101,205,358.08/14,912
  6. Step 6: Final answer
    x = 6,786.84

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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.