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Finding the Fourth Proportional to 14,962, 22,446.24 and 5,728

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Solution

The fourth proportional to 14,962, 22,446.24 and 5,728 is: 8,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 22,446.24 = 5,728 : x
  2. Step 2: Convert to fraction form
    14,962/22,446.24 = 5,728/x
  3. Step 3: Cross multiply
    14,962x = 22,446.24 × 5,728
  4. Step 4: Simplify right side
    14,962x = 128,572,062.72
  5. Step 5: Solve for x
    x = 128,572,062.72/14,962
  6. Step 6: Final answer
    x = 8,593.24

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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.