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Finding the Fourth Proportional to 23,851.71, 35,772.94 and 7,207.86

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Solution

The fourth proportional to 23,851.71, 35,772.94 and 7,207.86 is: 10,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.71 : 35,772.94 = 7,207.86 : x
  2. Step 2: Convert to fraction form
    23,851.71/35,772.94 = 7,207.86/x
  3. Step 3: Cross multiply
    23,851.71x = 35,772.94 × 7,207.86
  4. Step 4: Simplify right side
    23,851.71x = 257,846,343.31
  5. Step 5: Solve for x
    x = 257,846,343.31/23,851.71
  6. Step 6: Final answer
    x = 10,810.39

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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.