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Finding the Fourth Proportional to 23,238.02, 34,857.08 and 9,201.35

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Solution

The fourth proportional to 23,238.02, 34,857.08 and 9,201.35 is: 13,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.02 : 34,857.08 = 9,201.35 : x
  2. Step 2: Convert to fraction form
    23,238.02/34,857.08 = 9,201.35/x
  3. Step 3: Cross multiply
    23,238.02x = 34,857.08 × 9,201.35
  4. Step 4: Simplify right side
    23,238.02x = 320,732,193.06
  5. Step 5: Solve for x
    x = 320,732,193.06/23,238.02
  6. Step 6: Final answer
    x = 13,802.04

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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.