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Finding the Fourth Proportional to 23,841.89, 35,762.83 and 12,714.86

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Solution

The fourth proportional to 23,841.89, 35,762.83 and 12,714.86 is: 19,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.89 : 35,762.83 = 12,714.86 : x
  2. Step 2: Convert to fraction form
    23,841.89/35,762.83 = 12,714.86/x
  3. Step 3: Cross multiply
    23,841.89x = 35,762.83 × 12,714.86
  4. Step 4: Simplify right side
    23,841.89x = 454,719,434.27
  5. Step 5: Solve for x
    x = 454,719,434.27/23,841.89
  6. Step 6: Final answer
    x = 19,072.29

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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.