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Finding the Fourth Proportional to 23,849.36, 35,774.28 and 7,209.54

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Solution

The fourth proportional to 23,849.36, 35,774.28 and 7,209.54 is: 10,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.36 : 35,774.28 = 7,209.54 : x
  2. Step 2: Convert to fraction form
    23,849.36/35,774.28 = 7,209.54/x
  3. Step 3: Cross multiply
    23,849.36x = 35,774.28 × 7,209.54
  4. Step 4: Simplify right side
    23,849.36x = 257,916,102.63
  5. Step 5: Solve for x
    x = 257,916,102.63/23,849.36
  6. Step 6: Final answer
    x = 10,814.38

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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.