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Finding the Fourth Proportional to 22,928, 31,641.12 and 12,992

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Solution

The fourth proportional to 22,928, 31,641.12 and 12,992 is: 17,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928 : 31,641.12 = 12,992 : x
  2. Step 2: Convert to fraction form
    22,928/31,641.12 = 12,992/x
  3. Step 3: Cross multiply
    22,928x = 31,641.12 × 12,992
  4. Step 4: Simplify right side
    22,928x = 411,081,431.04
  5. Step 5: Solve for x
    x = 411,081,431.04/22,928
  6. Step 6: Final answer
    x = 17,929.23

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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.