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Finding the Fourth Proportional to 22,722.86, 31,361.38 and 14,654.25

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Solution

The fourth proportional to 22,722.86, 31,361.38 and 14,654.25 is: 20,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.86 : 31,361.38 = 14,654.25 : x
  2. Step 2: Convert to fraction form
    22,722.86/31,361.38 = 14,654.25/x
  3. Step 3: Cross multiply
    22,722.86x = 31,361.38 × 14,654.25
  4. Step 4: Simplify right side
    22,722.86x = 459,577,466.23
  5. Step 5: Solve for x
    x = 459,577,466.23/22,722.86
  6. Step 6: Final answer
    x = 20,225.33

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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.