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Finding the Fourth Proportional to 22,611.42, 31,201.47 and 12,538.26

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Solution

The fourth proportional to 22,611.42, 31,201.47 and 12,538.26 is: 17,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.42 : 31,201.47 = 12,538.26 : x
  2. Step 2: Convert to fraction form
    22,611.42/31,201.47 = 12,538.26/x
  3. Step 3: Cross multiply
    22,611.42x = 31,201.47 × 12,538.26
  4. Step 4: Simplify right side
    22,611.42x = 391,212,143.24
  5. Step 5: Solve for x
    x = 391,212,143.24/22,611.42
  6. Step 6: Final answer
    x = 17,301.53

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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.