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Finding the Fourth Proportional to 22,495.84, 31,043.76 and 12,286.53

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Solution

The fourth proportional to 22,495.84, 31,043.76 and 12,286.53 is: 16,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.84 : 31,043.76 = 12,286.53 : x
  2. Step 2: Convert to fraction form
    22,495.84/31,043.76 = 12,286.53/x
  3. Step 3: Cross multiply
    22,495.84x = 31,043.76 × 12,286.53
  4. Step 4: Simplify right side
    22,495.84x = 381,420,042.48
  5. Step 5: Solve for x
    x = 381,420,042.48/22,495.84
  6. Step 6: Final answer
    x = 16,955.14

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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.