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Finding the Fourth Proportional to 15,714.20, 23,578.98 and 7,395.05

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Solution

The fourth proportional to 15,714.20, 23,578.98 and 7,395.05 is: 11,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.20 : 23,578.98 = 7,395.05 : x
  2. Step 2: Convert to fraction form
    15,714.20/23,578.98 = 7,395.05/x
  3. Step 3: Cross multiply
    15,714.20x = 23,578.98 × 7,395.05
  4. Step 4: Simplify right side
    15,714.20x = 174,367,736.05
  5. Step 5: Solve for x
    x = 174,367,736.05/15,714.20
  6. Step 6: Final answer
    x = 11,096.19

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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.