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Finding the Fourth Proportional to 23,714.41, 35,576.74 and 12,619.46

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Solution

The fourth proportional to 23,714.41, 35,576.74 and 12,619.46 is: 18,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.41 : 35,576.74 = 12,619.46 : x
  2. Step 2: Convert to fraction form
    23,714.41/35,576.74 = 12,619.46/x
  3. Step 3: Cross multiply
    23,714.41x = 35,576.74 × 12,619.46
  4. Step 4: Simplify right side
    23,714.41x = 448,959,349.22
  5. Step 5: Solve for x
    x = 448,959,349.22/23,714.41
  6. Step 6: Final answer
    x = 18,931.93

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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.