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Finding the Fourth Proportional to 23,071, 31,837.98 and 13,136.92

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Solution

The fourth proportional to 23,071, 31,837.98 and 13,136.92 is: 18,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071 : 31,837.98 = 13,136.92 : x
  2. Step 2: Convert to fraction form
    23,071/31,837.98 = 13,136.92/x
  3. Step 3: Cross multiply
    23,071x = 31,837.98 × 13,136.92
  4. Step 4: Simplify right side
    23,071x = 418,252,996.22
  5. Step 5: Solve for x
    x = 418,252,996.22/23,071
  6. Step 6: Final answer
    x = 18,128.95

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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.