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Finding the Fourth Proportional to 22,354.31, 30,848.34 and 12,282.72

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Solution

The fourth proportional to 22,354.31, 30,848.34 and 12,282.72 is: 16,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.31 : 30,848.34 = 12,282.72 : x
  2. Step 2: Convert to fraction form
    22,354.31/30,848.34 = 12,282.72/x
  3. Step 3: Cross multiply
    22,354.31x = 30,848.34 × 12,282.72
  4. Step 4: Simplify right side
    22,354.31x = 378,901,522.68
  5. Step 5: Solve for x
    x = 378,901,522.68/22,354.31
  6. Step 6: Final answer
    x = 16,949.82

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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.