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Finding the Fourth Proportional to 22,256.41, 30,714.21 and 12,184.68

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Solution

The fourth proportional to 22,256.41, 30,714.21 and 12,184.68 is: 16,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.41 : 30,714.21 = 12,184.68 : x
  2. Step 2: Convert to fraction form
    22,256.41/30,714.21 = 12,184.68/x
  3. Step 3: Cross multiply
    22,256.41x = 30,714.21 × 12,184.68
  4. Step 4: Simplify right side
    22,256.41x = 374,242,759.38
  5. Step 5: Solve for x
    x = 374,242,759.38/22,256.41
  6. Step 6: Final answer
    x = 16,815.06

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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.