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Finding the Fourth Proportional to 22,646.81, 33,965.66 and 7,856.33

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Solution

The fourth proportional to 22,646.81, 33,965.66 and 7,856.33 is: 11,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.81 : 33,965.66 = 7,856.33 : x
  2. Step 2: Convert to fraction form
    22,646.81/33,965.66 = 7,856.33/x
  3. Step 3: Cross multiply
    22,646.81x = 33,965.66 × 7,856.33
  4. Step 4: Simplify right side
    22,646.81x = 266,845,283.44
  5. Step 5: Solve for x
    x = 266,845,283.44/22,646.81
  6. Step 6: Final answer
    x = 11,782.91

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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.