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Finding the Fourth Proportional to 23,013.37, 34,520.06 and 9,857.22

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Solution

The fourth proportional to 23,013.37, 34,520.06 and 9,857.22 is: 14,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.37 : 34,520.06 = 9,857.22 : x
  2. Step 2: Convert to fraction form
    23,013.37/34,520.06 = 9,857.22/x
  3. Step 3: Cross multiply
    23,013.37x = 34,520.06 × 9,857.22
  4. Step 4: Simplify right side
    23,013.37x = 340,271,825.83
  5. Step 5: Solve for x
    x = 340,271,825.83/23,013.37
  6. Step 6: Final answer
    x = 14,785.83

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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.