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Finding the Fourth Proportional to 22,874.84, 31,573.50 and 13,446.44

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Solution

The fourth proportional to 22,874.84, 31,573.50 and 13,446.44 is: 18,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.84 : 31,573.50 = 13,446.44 : x
  2. Step 2: Convert to fraction form
    22,874.84/31,573.50 = 13,446.44/x
  3. Step 3: Cross multiply
    22,874.84x = 31,573.50 × 13,446.44
  4. Step 4: Simplify right side
    22,874.84x = 424,551,173.34
  5. Step 5: Solve for x
    x = 424,551,173.34/22,874.84
  6. Step 6: Final answer
    x = 18,559.74

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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.