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Finding the Fourth Proportional to 23,714.40, 35,571.68 and 6,184.20

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Solution

The fourth proportional to 23,714.40, 35,571.68 and 6,184.20 is: 9,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.40 : 35,571.68 = 6,184.20 : x
  2. Step 2: Convert to fraction form
    23,714.40/35,571.68 = 6,184.20/x
  3. Step 3: Cross multiply
    23,714.40x = 35,571.68 × 6,184.20
  4. Step 4: Simplify right side
    23,714.40x = 219,982,383.46
  5. Step 5: Solve for x
    x = 219,982,383.46/23,714.40
  6. Step 6: Final answer
    x = 9,276.32

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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.