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Finding the Fourth Proportional to 23,812.24, 35,714.30 and 6,282.24

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Solution

The fourth proportional to 23,812.24, 35,714.30 and 6,282.24 is: 9,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.24 : 35,714.30 = 6,282.24 : x
  2. Step 2: Convert to fraction form
    23,812.24/35,714.30 = 6,282.24/x
  3. Step 3: Cross multiply
    23,812.24x = 35,714.30 × 6,282.24
  4. Step 4: Simplify right side
    23,812.24x = 224,365,804.03
  5. Step 5: Solve for x
    x = 224,365,804.03/23,812.24
  6. Step 6: Final answer
    x = 9,422.29

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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.