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Finding the Fourth Proportional to 23,819.54, 35,729.62 and 9,024.49

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Solution

The fourth proportional to 23,819.54, 35,729.62 and 9,024.49 is: 13,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.54 : 35,729.62 = 9,024.49 : x
  2. Step 2: Convert to fraction form
    23,819.54/35,729.62 = 9,024.49/x
  3. Step 3: Cross multiply
    23,819.54x = 35,729.62 × 9,024.49
  4. Step 4: Simplify right side
    23,819.54x = 322,441,486.51
  5. Step 5: Solve for x
    x = 322,441,486.51/23,819.54
  6. Step 6: Final answer
    x = 13,536.85

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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.