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Finding the Fourth Proportional to 23,874.71, 35,812.03 and 6,344.54

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Solution

The fourth proportional to 23,874.71, 35,812.03 and 6,344.54 is: 9,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.71 : 35,812.03 = 6,344.54 : x
  2. Step 2: Convert to fraction form
    23,874.71/35,812.03 = 6,344.54/x
  3. Step 3: Cross multiply
    23,874.71x = 35,812.03 × 6,344.54
  4. Step 4: Simplify right side
    23,874.71x = 227,210,784.29
  5. Step 5: Solve for x
    x = 227,210,784.29/23,874.71
  6. Step 6: Final answer
    x = 9,516.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.