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Finding the Fourth Proportional to 23,817.13, 35,722.94 and 6,288.32

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Solution

The fourth proportional to 23,817.13, 35,722.94 and 6,288.32 is: 9,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.13 : 35,722.94 = 6,288.32 : x
  2. Step 2: Convert to fraction form
    23,817.13/35,722.94 = 6,288.32/x
  3. Step 3: Cross multiply
    23,817.13x = 35,722.94 × 6,288.32
  4. Step 4: Simplify right side
    23,817.13x = 224,637,335.93
  5. Step 5: Solve for x
    x = 224,637,335.93/23,817.13
  6. Step 6: Final answer
    x = 9,431.76

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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.