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Finding the Fourth Proportional to 22,345.92, 30,823.20 and 13,728.33

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Solution

The fourth proportional to 22,345.92, 30,823.20 and 13,728.33 is: 18,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.92 : 30,823.20 = 13,728.33 : x
  2. Step 2: Convert to fraction form
    22,345.92/30,823.20 = 13,728.33/x
  3. Step 3: Cross multiply
    22,345.92x = 30,823.20 × 13,728.33
  4. Step 4: Simplify right side
    22,345.92x = 423,151,061.26
  5. Step 5: Solve for x
    x = 423,151,061.26/22,345.92
  6. Step 6: Final answer
    x = 18,936.39

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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.