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Finding the Fourth Proportional to 22,768.68, 31,423.86 and 13,341

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Solution

The fourth proportional to 22,768.68, 31,423.86 and 13,341 is: 18,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.68 : 31,423.86 = 13,341 : x
  2. Step 2: Convert to fraction form
    22,768.68/31,423.86 = 13,341/x
  3. Step 3: Cross multiply
    22,768.68x = 31,423.86 × 13,341
  4. Step 4: Simplify right side
    22,768.68x = 419,225,716.26
  5. Step 5: Solve for x
    x = 419,225,716.26/22,768.68
  6. Step 6: Final answer
    x = 18,412.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.