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Finding the Fourth Proportional to 22,532.96, 31,096.66 and 12,974.28

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Solution

The fourth proportional to 22,532.96, 31,096.66 and 12,974.28 is: 17,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.96 : 31,096.66 = 12,974.28 : x
  2. Step 2: Convert to fraction form
    22,532.96/31,096.66 = 12,974.28/x
  3. Step 3: Cross multiply
    22,532.96x = 31,096.66 × 12,974.28
  4. Step 4: Simplify right side
    22,532.96x = 403,456,773.90
  5. Step 5: Solve for x
    x = 403,456,773.90/22,532.96
  6. Step 6: Final answer
    x = 17,905.18

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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.