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Finding the Fourth Proportional to 22,927.73, 31,639.16 and 12,857.27

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Solution

The fourth proportional to 22,927.73, 31,639.16 and 12,857.27 is: 17,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.73 : 31,639.16 = 12,857.27 : x
  2. Step 2: Convert to fraction form
    22,927.73/31,639.16 = 12,857.27/x
  3. Step 3: Cross multiply
    22,927.73x = 31,639.16 × 12,857.27
  4. Step 4: Simplify right side
    22,927.73x = 406,793,158.41
  5. Step 5: Solve for x
    x = 406,793,158.41/22,927.73
  6. Step 6: Final answer
    x = 17,742.41

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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.