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Finding the Fourth Proportional to 22,517.23, 31,071.99 and 12,446.11

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Solution

The fourth proportional to 22,517.23, 31,071.99 and 12,446.11 is: 17,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.23 : 31,071.99 = 12,446.11 : x
  2. Step 2: Convert to fraction form
    22,517.23/31,071.99 = 12,446.11/x
  3. Step 3: Cross multiply
    22,517.23x = 31,071.99 × 12,446.11
  4. Step 4: Simplify right side
    22,517.23x = 386,725,405.46
  5. Step 5: Solve for x
    x = 386,725,405.46/22,517.23
  6. Step 6: Final answer
    x = 17,174.64

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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.