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Finding the Fourth Proportional to 14,816, 22,224 and 3,872

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Solution

The fourth proportional to 14,816, 22,224 and 3,872 is: 5,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816 : 22,224 = 3,872 : x
  2. Step 2: Convert to fraction form
    14,816/22,224 = 3,872/x
  3. Step 3: Cross multiply
    14,816x = 22,224 × 3,872
  4. Step 4: Simplify right side
    14,816x = 86,051,328
  5. Step 5: Solve for x
    x = 86,051,328/14,816
  6. Step 6: Final answer
    x = 5,808

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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.