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Finding the Fourth Proportional to 23,506.74, 35,260.92 and 7,714.44

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Solution

The fourth proportional to 23,506.74, 35,260.92 and 7,714.44 is: 11,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.74 : 35,260.92 = 7,714.44 : x
  2. Step 2: Convert to fraction form
    23,506.74/35,260.92 = 7,714.44/x
  3. Step 3: Cross multiply
    23,506.74x = 35,260.92 × 7,714.44
  4. Step 4: Simplify right side
    23,506.74x = 272,018,251.68
  5. Step 5: Solve for x
    x = 272,018,251.68/23,506.74
  6. Step 6: Final answer
    x = 11,571.93

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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.