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Finding the Fourth Proportional to 22,612.32, 31,204.80 and 12,676.32

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Solution

The fourth proportional to 22,612.32, 31,204.80 and 12,676.32 is: 17,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.32 : 31,204.80 = 12,676.32 : x
  2. Step 2: Convert to fraction form
    22,612.32/31,204.80 = 12,676.32/x
  3. Step 3: Cross multiply
    22,612.32x = 31,204.80 × 12,676.32
  4. Step 4: Simplify right side
    22,612.32x = 395,562,030.34
  5. Step 5: Solve for x
    x = 395,562,030.34/22,612.32
  6. Step 6: Final answer
    x = 17,493.21

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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.