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Finding the Fourth Proportional to 23,817, 35,721.96 and 6,288.06

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Solution

The fourth proportional to 23,817, 35,721.96 and 6,288.06 is: 9,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 35,721.96 = 6,288.06 : x
  2. Step 2: Convert to fraction form
    23,817/35,721.96 = 6,288.06/x
  3. Step 3: Cross multiply
    23,817x = 35,721.96 × 6,288.06
  4. Step 4: Simplify right side
    23,817x = 224,621,827.80
  5. Step 5: Solve for x
    x = 224,621,827.80/23,817
  6. Step 6: Final answer
    x = 9,431.16

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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.