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Finding the Fourth Proportional to 22,256.84, 30,714.39 and 12,185.28

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Solution

The fourth proportional to 22,256.84, 30,714.39 and 12,185.28 is: 16,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.84 : 30,714.39 = 12,185.28 : x
  2. Step 2: Convert to fraction form
    22,256.84/30,714.39 = 12,185.28/x
  3. Step 3: Cross multiply
    22,256.84x = 30,714.39 × 12,185.28
  4. Step 4: Simplify right side
    22,256.84x = 374,263,442.18
  5. Step 5: Solve for x
    x = 374,263,442.18/22,256.84
  6. Step 6: Final answer
    x = 16,815.66

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