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Finding the Fourth Proportional to 22,956.75, 31,680.32 and 13,020.75

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Solution

The fourth proportional to 22,956.75, 31,680.32 and 13,020.75 is: 17,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.75 : 31,680.32 = 13,020.75 : x
  2. Step 2: Convert to fraction form
    22,956.75/31,680.32 = 13,020.75/x
  3. Step 3: Cross multiply
    22,956.75x = 31,680.32 × 13,020.75
  4. Step 4: Simplify right side
    22,956.75x = 412,501,461.54
  5. Step 5: Solve for x
    x = 412,501,461.54/22,956.75
  6. Step 6: Final answer
    x = 17,968.64

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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.