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Finding the Fourth Proportional to 23,582.32, 35,372.56 and 7,999.96

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Solution

The fourth proportional to 23,582.32, 35,372.56 and 7,999.96 is: 11,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.32 : 35,372.56 = 7,999.96 : x
  2. Step 2: Convert to fraction form
    23,582.32/35,372.56 = 7,999.96/x
  3. Step 3: Cross multiply
    23,582.32x = 35,372.56 × 7,999.96
  4. Step 4: Simplify right side
    23,582.32x = 282,979,065.10
  5. Step 5: Solve for x
    x = 282,979,065.10/23,582.32
  6. Step 6: Final answer
    x = 11,999.63

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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.