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Finding the Fourth Proportional to 22,967.96, 31,694.76 and 12,896.22

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Solution

The fourth proportional to 22,967.96, 31,694.76 and 12,896.22 is: 17,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.96 : 31,694.76 = 12,896.22 : x
  2. Step 2: Convert to fraction form
    22,967.96/31,694.76 = 12,896.22/x
  3. Step 3: Cross multiply
    22,967.96x = 31,694.76 × 12,896.22
  4. Step 4: Simplify right side
    22,967.96x = 408,742,597.81
  5. Step 5: Solve for x
    x = 408,742,597.81/22,967.96
  6. Step 6: Final answer
    x = 17,796.21

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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.