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Finding the Fourth Proportional to 22,357.49, 30,853.26 and 12,285.88

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Solution

The fourth proportional to 22,357.49, 30,853.26 and 12,285.88 is: 16,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.49 : 30,853.26 = 12,285.88 : x
  2. Step 2: Convert to fraction form
    22,357.49/30,853.26 = 12,285.88/x
  3. Step 3: Cross multiply
    22,357.49x = 30,853.26 × 12,285.88
  4. Step 4: Simplify right side
    22,357.49x = 379,059,372.84
  5. Step 5: Solve for x
    x = 379,059,372.84/22,357.49
  6. Step 6: Final answer
    x = 16,954.47

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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.