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Finding the Fourth Proportional to 15,714.70, 23,552.60 and 7,919.26

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Solution

The fourth proportional to 15,714.70, 23,552.60 and 7,919.26 is: 11,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.70 : 23,552.60 = 7,919.26 : x
  2. Step 2: Convert to fraction form
    15,714.70/23,552.60 = 7,919.26/x
  3. Step 3: Cross multiply
    15,714.70x = 23,552.60 × 7,919.26
  4. Step 4: Simplify right side
    15,714.70x = 186,519,163.08
  5. Step 5: Solve for x
    x = 186,519,163.08/15,714.70
  6. Step 6: Final answer
    x = 11,869.09

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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.