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Finding the Fourth Proportional to 22,611.49, 31,205.72 and 12,540.96

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Solution

The fourth proportional to 22,611.49, 31,205.72 and 12,540.96 is: 17,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.49 : 31,205.72 = 12,540.96 : x
  2. Step 2: Convert to fraction form
    22,611.49/31,205.72 = 12,540.96/x
  3. Step 3: Cross multiply
    22,611.49x = 31,205.72 × 12,540.96
  4. Step 4: Simplify right side
    22,611.49x = 391,349,717.64
  5. Step 5: Solve for x
    x = 391,349,717.64/22,611.49
  6. Step 6: Final answer
    x = 17,307.56

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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.