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Finding the Fourth Proportional to 13,822, 20,736.24 and 4,588

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Solution

The fourth proportional to 13,822, 20,736.24 and 4,588 is: 6,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822 : 20,736.24 = 4,588 : x
  2. Step 2: Convert to fraction form
    13,822/20,736.24 = 4,588/x
  3. Step 3: Cross multiply
    13,822x = 20,736.24 × 4,588
  4. Step 4: Simplify right side
    13,822x = 95,137,869.12
  5. Step 5: Solve for x
    x = 95,137,869.12/13,822
  6. Step 6: Final answer
    x = 6,883.08

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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.