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Finding the Fourth Proportional to 23,954.30, 35,937.83 and 9,164.42

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Solution

The fourth proportional to 23,954.30, 35,937.83 and 9,164.42 is: 13,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,954.30 : 35,937.83 = 9,164.42 : x
  2. Step 2: Convert to fraction form
    23,954.30/35,937.83 = 9,164.42/x
  3. Step 3: Cross multiply
    23,954.30x = 35,937.83 × 9,164.42
  4. Step 4: Simplify right side
    23,954.30x = 329,349,211.23
  5. Step 5: Solve for x
    x = 329,349,211.23/23,954.30
  6. Step 6: Final answer
    x = 13,749.07

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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.