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Finding the Fourth Proportional to 22,650.24, 33,973.44 and 7,856.64

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Solution

The fourth proportional to 22,650.24, 33,973.44 and 7,856.64 is: 11,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.24 : 33,973.44 = 7,856.64 : x
  2. Step 2: Convert to fraction form
    22,650.24/33,973.44 = 7,856.64/x
  3. Step 3: Cross multiply
    22,650.24x = 33,973.44 × 7,856.64
  4. Step 4: Simplify right side
    22,650.24x = 266,917,087.64
  5. Step 5: Solve for x
    x = 266,917,087.64/22,650.24
  6. Step 6: Final answer
    x = 11,784.29

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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.