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Finding the Fourth Proportional to 23,672.92, 35,510.72 and 6,142.28

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Solution

The fourth proportional to 23,672.92, 35,510.72 and 6,142.28 is: 9,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.92 : 35,510.72 = 6,142.28 : x
  2. Step 2: Convert to fraction form
    23,672.92/35,510.72 = 6,142.28/x
  3. Step 3: Cross multiply
    23,672.92x = 35,510.72 × 6,142.28
  4. Step 4: Simplify right side
    23,672.92x = 218,116,785.24
  5. Step 5: Solve for x
    x = 218,116,785.24/23,672.92
  6. Step 6: Final answer
    x = 9,213.77

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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.