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Finding the Fourth Proportional to 23,923.92, 35,893.59 and 7,287.18

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Solution

The fourth proportional to 23,923.92, 35,893.59 and 7,287.18 is: 10,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,923.92 : 35,893.59 = 7,287.18 : x
  2. Step 2: Convert to fraction form
    23,923.92/35,893.59 = 7,287.18/x
  3. Step 3: Cross multiply
    23,923.92x = 35,893.59 × 7,287.18
  4. Step 4: Simplify right side
    23,923.92x = 261,563,051.18
  5. Step 5: Solve for x
    x = 261,563,051.18/23,923.92
  6. Step 6: Final answer
    x = 10,933.12

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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.