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Finding the Fourth Proportional to 22,640.34, 31,242.27 and 12,568.20

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Solution

The fourth proportional to 22,640.34, 31,242.27 and 12,568.20 is: 17,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.34 : 31,242.27 = 12,568.20 : x
  2. Step 2: Convert to fraction form
    22,640.34/31,242.27 = 12,568.20/x
  3. Step 3: Cross multiply
    22,640.34x = 31,242.27 × 12,568.20
  4. Step 4: Simplify right side
    22,640.34x = 392,659,097.81
  5. Step 5: Solve for x
    x = 392,659,097.81/22,640.34
  6. Step 6: Final answer
    x = 17,343.34

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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.