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Finding the Fourth Proportional to 11,674.41, 17,458.43 and 8,714.94

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Solution

The fourth proportional to 11,674.41, 17,458.43 and 8,714.94 is: 13,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.41 : 17,458.43 = 8,714.94 : x
  2. Step 2: Convert to fraction form
    11,674.41/17,458.43 = 8,714.94/x
  3. Step 3: Cross multiply
    11,674.41x = 17,458.43 × 8,714.94
  4. Step 4: Simplify right side
    11,674.41x = 152,149,126.37
  5. Step 5: Solve for x
    x = 152,149,126.37/11,674.41
  6. Step 6: Final answer
    x = 13,032.70

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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.