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Finding the Fourth Proportional to 15,822.84, 23,735.52 and 9,249.69

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Solution

The fourth proportional to 15,822.84, 23,735.52 and 9,249.69 is: 13,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.84 : 23,735.52 = 9,249.69 : x
  2. Step 2: Convert to fraction form
    15,822.84/23,735.52 = 9,249.69/x
  3. Step 3: Cross multiply
    15,822.84x = 23,735.52 × 9,249.69
  4. Step 4: Simplify right side
    15,822.84x = 219,546,201.99
  5. Step 5: Solve for x
    x = 219,546,201.99/15,822.84
  6. Step 6: Final answer
    x = 13,875.27

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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.